What is this shape called? MOST will answer WRONG!
ฝัง
- เผยแพร่เมื่อ 22 ก.พ. 2024
- Triangle inequality theorem - the lengths of a triangle.
TabletClass Math Academy - TCMathAcademy.com/
Help with Middle and High School Math
Test Prep for High School Math, College Math, Teacher Certification Math and More!
Popular Math Courses:
Math Foundations
tabletclass-academy.teachable...
Math Skills Rebuilder Course:
tabletclass-academy.teachable...
Pre-Algebra
tabletclass-academy.teachable...
Algebra
tabletclass-academy.teachable...
Geometry
tabletclass-academy.teachable...
Algebra 2
tabletclass-academy.teachable...
Pre-Calculus
tabletclass-academy.teachable...
If you’re looking for a math course for any of the following, check out my full Course Catalog at: TCMathAcademy.com/courses/
• MIDDLE & HIGH SCHOOL MATH
• HOMESCHOOL MATH
• COLLEGE MATH
• TEST PREP MATH
• TEACHER CERTIFICATION TEST MATH
It's a transtriangle.
11 identifies as 7.21 today.
Good one!
since 6+4 < 11 it is no triangle
For a triangle, sum of any two sides must exceed third, so d.
sum of the sides must exceed the third side, not just any sides.
@@andrewcherowbrier329 no, kenneth is correct. Should any side be longer than the other two sides combined, these two sides could not possibly reach the ends of the longest side, so the triangle would be incomplete, or open, if you will. It is also stated in the video, at around 6:45 ...
"The only possible answer is "Not drawn to scale."
If you accept the three measurements, but take the apparent angles to be incorrect, the two sides that appear to meet at a right angle do not actually meet. So, even though it is not drawn, a line can be drawn that connects their "floating" endpoints. It most likely completes a quadrilateral, but could be co-linear with either of the two sides, making a triangle of any type.
The only possible answer is ... D
Three line segments can not make a triangle because the sum of two lengths, 6+4=10, needs to be longer than the remaining, 11, length. NO TRIANGLE
ALMOST correct. NOT "needs to be LONGER THAN the remaining", but "needs to be EQUAL TO OR GREATER THAN the remaining".
Looks like a projection of a triangle (a shape with three corners) from a curved manifold onto a flat plane. What type depends on the nature of the manifold.
D Hypotenuse longer than sum of sided - cannot connect ends to form a triangle.
Quite simple to solve: just turn the 4-size side down next to the 6-size side and you have a 10-size length. So it is not possible to make a triangle out of this with 11-size: answer D
It’s an obtuse triangle, which fits your obtuse question and wrong answers.
For a right triangle the sum of the square of the sides have to equal the square of the hypothenuse, therefore this is not a triangle.
4 square+6 square = 52
Hypothenuse=11
11 square=121
52 different from 121
Why do 5 people upvote this ? He is mixing things up.
It is not a right triangle because the squares do not add up but that doesn't mean that it is not a triangle.
It is not a triangle at all because one side is bigger than the sum of the other two.
(All assuming ,of course, that the numbers are supposed to represent lengths)
Doesn't fit A² + B² = C²
Pythagorean's theorem
This was my reasoning also against rt. triangle.
Since the shortest distance between 2 points is a straight line, the longest straight line in a triangle must be shorter thn the sum of the other 2 lines.
Skipbrewer8101 gave you the right response. This doesn't involve the Pythagorean Theorem. That was my first inclination, but then I realized that the correct approach is that A + B _must_ be greater than C. So it isn't a possible triangle. I think the question should have been asked verbally, without a diagram. Putting that triangle in the question was deliberately misleading -- not really fair, IMO.
If “The shortest distance between two points is a straight line” is true, and it is, then the solution to this problem is obvious. Since one combination of distances fails to meet this standard (11 is greater than 4+6), these three lines cannot meet in a triangle. I realize that this application of logic does not meet mathematical standards in that it doesn’t automatically differentiate between right and acute triangles.
Good question, and I got it right, but it should probably be asked verbally instead of using a diagram.
"What polygon has three sides with lengths of 4, 6, and 11?"
And then the choices should not include "no triangle". I think it should just be "none of the above". Also don't include "quadrilateral" since that would be possible with a _fourth_ side. If you want "quadrilateral" among the choices, make sure the question reads, "...three (and only three) sides."
My answer would have been B but I looked at it again. Good trigonometry question
It could be one of two things: A right triangle with some random numbers written by it (which obviously aren't the actual lengths of the sides; because it wouldn't make any sense that way) or...it's a triangle on a curved surface, like a convex or concave hemisphere. In which case those lengths might work. Or Mr. TH-cam Math Man is trying to pull a fast one on us and it's just "No Triangle."
Thanks!
The hypotenuse length is too long to join the 4 and 6 sides, so I’ve got to say it is not a triangle.
Wow didn’t know that rule of thumb. The sum of any two sides has to be > than the third side to be a triangle. Thanks MR YouT MM
What is this shape called?
Well, looking at the "Shape", it's definitely a Triangle (a 3 sided polygon).
But, if the 3 numbers (4, 6, 11) next to the sides of the shape (again, triangle) are supposed to indicate the length of each of the sides, then taken together, these 3 lengths are impossible for a triangle.
So, to answer the question, "What is this shape called?", it's a Triangle. A triangle with mislabeled side lengths, but a shape in the form of a triangle none the less.
On the other hand, a shape with side lengths of (4, 6, 11) cannot be arranged to form a closed shape like a triangle.
So, I expect that this is a "Trick" question, and the "desired" answer is "d) No triangle."
But it's still freaking a triangle I'm seeing and it clearly has a 90 degree angle (or so it REALLY seems), so I should get the point for b). And point out to the teacher that the measures do not make sense.
@@flonoiisana4647 Wrong. The point is, don't trust bad drawings... trust numbers.
@@dman375 Pretty silly thing to say.
@@flonoiisana4647 Very correct thing to say. LOL
E a line. I foolishly did 36 +16
It is No triangle… by the side lengths. It’s not even possible. It is a right angle triangle if only considering the sketch and not the numbers.
Thank you!
It looks like a right triangle but a sq+ b sq doesn’t equal c sq so I say acute triangle but I didn’t do the trig.
Shortest distance between 2 points is a straight line.
The straight line side can't be greater than the other 2 sides.
hypotenuse side must be shorter than sum of other 2 sides.
D0 No Triangle. 6+4=10, which wouldn't reach 11. So it can't look like the visualization.
The answer is "d". 'No triangle'. The slope, R = 11, can not equal the square root of 6 squared + 4 square. R must = 7.211025....
It has three angles....
I thought that a triangle with three sides of different length was called a scalene triangle! I could tell that the sides were of different length.
He spoke about angles less than 90 degrees for the acute triangle, not of sides. But you are right.
The numbers are not labeled as to increments. So it could be a right Triangle
At the title card, the answer is d) No triangle!
There's no way the "hypoteneuse" of a triangle can be longer than the sum of the two other sides -- at least not on a Cartesian plane, and probably not in Euclidian space....
Using trig it appears to be b) but it does'nt obey pythagoras so d)
I get that it is not possible to have a triangle with these side lengths but it just feels wrong to draw a triangle and then say it is not one.
Yeah - math concept is important but really poorly phrased question/answers out of context which leads mostly to confusion about what is being asked. "Impossible as drawn" would have been a better option than "no triangle" which is a weird response to the question of "what is this".
THANK YOU!
@@DavidDSimon Thank you too!
Very simple : this is a right triangle where 11 people vote on the internet that the hypothenuse is the cutest side.
But they are wrong ! (Hence the video caption that most people will answer wrong)
It the vertical side that is the cutest so you should add one vote to the vertical side .... and that is my flat answer.
A triangle with sides 1, 4 and 5 is technically a triangle ic although a degenerate one.
It is enough to compare the sum of the two smaller sides with the biggest side. If it is at least as big as the biggest side, it is a triangle.
no
@@bigmichael6156 Why?
@@Hofer2304 triangle without three angles ins not a triangle
@@bigmichael6156 Sorry, but the mathematicians consider a degenerate triangle as a triangle. Read the Wikipedia article about "triangle inequality". Only some authors, especially about elementary geometry, are leaving out the possibility of equality.
Looks like a incorrect drawing to me. 😊 Did get me to think a little so that’s a good thing.
Can you please answer the question: What is this?
The only thing you write about is what it is not. But that was not the question.
Or do you find it correct to answer a question like "what is 8+9 ?" with "not 14"? Because that is what you do.
It is *not* any "shape". It is just three (3) line segments.
@@MrSummitvillethe only correct answer is: as drawn an impossible combination of three line segments. The question was: what is this. And with “this” we mean the whole figure.
So your answer is about the elements of the figure, but what about the figure itself: as mentioned: an impossible combination of three line segments.
The drawing fools one into thinking this is a right triangle. Better to have drawn a triangle with a very obtuse angle. That would have put a lot of your students on the right path to solving this problem.
The idea is to get students to THINK, to think PAST whatever the drawing MIGHT suggest. Here 2 things that the student must look past: a) a seemingly 90-degree angle; b) a closed figure.
@@user-gx1rk8yw6l then emphasize on the drawing that this is NOT a 90° angle. Such drawings trick students when it may not be obvious to them that there is no solution.
@@moonmissionpassagetototali1952 That emphasis iS actually present, by the ABSENCE of any 90-degree symbol. Students "tricked" this easily shows that they are NOT thinking.
But then they don’t do the math
@@tammymavery Exactly.
The hypoteneuse is mislabeled. It's 7.21 rounded off.
Not a right triangle as proven by the fact that 6^2 + 4^2 does not equal 11^2 ( Pythagorean theorem) . And it can't be an acute triangle as it does not satisfy a^2+b^2>c^2, b^2+c^2>a^2, and c^2+a^2>b^2. It also can't be a quadrilateral as it does not have 4 sides, Therefore, only the answer D "No Triangle" can be the correct answer.
This is not a triangle. The simplest way is to use the Triangle Inequalty Theorem. That is, a+b should be equal to, or greater than c; a+c, should be equal to or grater than b, and c+b should be greater than or equal to a. Now, we know that 11+4 is greater than 6, and 11+6 is greater than 4. However, 6+4=10 and 10 is less than 11. Under the theorem, it's not a triangle.
The picture of a triangle has the lengths of its sides incorrectly labeled. If the 4 and 6 sides were laid end to end they would not be long enough to connect with the end points of the line labeled 11.
One of the properties of a triangle is that the sum of any two parts of a triangle is always greater than the third side. 6 + 4 is not greater than 11.
@@francistorchio But your eyes clearly see that it is just a POORLY labeled triangle with wrong measures. So the answer should to the least be e) none of the above. Or clearly B and point out the wrong measures to the teacher.
@@flonoiisana4647 Agreed. However, I felt compelled to state one of the properties of a triangle.
@@francistorchio And that was the whole point of the video as well, I believe. But option d) sure rubbed me the wrong way. lol
If it isn't a triangle, you draw worse than I do.
Why are they even showing the triangle as closed? If one side is 11, another is 6, and the last is 4, it wouldn't connect anyway.
I really think this one excercise sucks.
It's a triangle that's moving sideways near the speed of light.
You've posted this exact problem before
Most kids know that if a thingie's legs are too short it can't be a triangle...
Quote "A triangle is a polygon with three corners and three sides" So if this one isn't one then you asked a trick question which is hardly fair for people trying to learn.
It's more than fair, this is an example of the Triangle Inequality Theorem.
I am pleased at myself, I knew that could not exist as a triangle just from the thumbnail.
A2 + B2 = C2. This is not a triangle with one 90 degree angle.
instant - 1 second - no triangle. sides don't add. thanks for the fun.
Since 6 + 4 < 11
It cannot be a triangle
DNE!!
An example of the triangle theorem.
It's a dangle.
No rocket science here.
Since the sum of the 2 short sides equals less than the long side, there is no triangle.
You should explain that the sides 6 + 4 is less than 11 at first so the drawing is a hoax
c.. the squares of the short sides dont equal the square of the hypotenuse
rethinkking ... no triangle... sides 6 & 4 dont reach far enough to = 11 eeven straight line..
Granite countertop template and fabrication. Better be on the money if a CNC is involved 😊 a good Sawyer would question your drawings ❤
The diagram is very misleading. They should have just described the puzzle. The units are not given. The 11 could represent another unit. This seems a puzzle wanting to be confusing. If the puzzle is meant to be confusing then two lines may have been arcs instead.
d ( no triangle)
The correct answer is insufficient information. You haven't stated whether the object is a representation of a 2 or 3 dimensional object.
If a + b is less than or equal to c, we have a straight line.
it's called "impossible", or maybe it utilises 4 dimensional geometry.
11>4+16. So no triangle.
Pie R round, cake R square
The hypotenuse cannot be longer than the sum of the two sides.
The diagram does not match the dimensions, and no diagram could.
This is a fallacious problem, designed to collect dolts.
Don't insult people, who lack some mathematical education. Your comment reflects poorly on your character.
@@MrSummitville I was right. You are one of the ones that it collected. Take a hike, pal.
No triangle.
Since 4 + 6 < 11, it is not even a geometric figure!
The picture is a triangle but the numbers are wrong?
It is a triangle.. it is a 3 sided polygon. You drew it improperly. The 11 side should not have been closed. It should stick past one end or the other. The way you DREW it, it is a triangle.
Wait! Could this be a trick question?!
Nope simple algebra and geometry. This is an example of the Triangle inequality theorem.
Acute triangle.
Not triangle... 11 greater than the sum of other two sides
misleading..the actual figure by itself is definitely a triangle. But if it was drawn to the measurements it will be a straight line
D 7.211
d) No triangle
What is a "quad-i-latel?"
Quadri means four in latin and French. Lateral means sides. So 4 sides.
d. No triangle
Yep. Just like the problems on the internet which are designed to get folks arguing over the order of operations.
Except this case, this is an example of 10th Grade Geometry/Algebra 1 of the Triangle Inequality Theorem. Had a+b for example been 6+5, it would have been a triangle since the 11 equals 11, and therefore is a triangle.
It's a left triangle.
d) no triangle
11+6=17< 4 11+4=15 11
But it really can’t be a triangle with those measurements
A poorly drawn example that could not exist with the dimensions indicated.
Acute triangle
Is this even possible?
It is a bogosity!
Right triangle
Right triangle.
It's quite obviously a right triangle. It's your numbers that are wrong. But I know you want me to say it's NOT a triangle because the sum of the length of any 2 sides is greater than the length of the 3rd side.
It is NOT a right triangle unless there is the right angle sign in it.
@@tomcurda4203 yeah, okay.smh
No triangle
D - no triangle . The Pythagoras' property is violated.
D no triangle
B a right triangle
either the drawing is wrong or the numbers are
Right Triangle I believe.
obtuse triangle
11 > 10
It's clear it is a triangle. That is a drawing of a triangle. The meaning of the numbers is unclear, their relevance is unspecified.
Many will get wrong
The numbers wrong since they defy the laws.
@@raynewport9395 In this very case it's not an excuse. Sorry!
Right Triangle
d, not a triangle
The drawing is a triangle. The problem is someone wrote the wrong numbers on the sides. That does not make the drawing different. It has three sides which meet at their ends and three angles. It's like asking ....If a human stays under water without an oxygen supply for 6 hours, then runs 4 miles at full speed,, what will their blood oxygen levels be? Then saying ZERO is incorrect.
I totally agree. The problem is misleading. How do we not know that the numbers are wrong?? Maybe 4,6,8, instead of 4,6,11. This should have been a word problem only - no drawing. Just ask, "Is it possible to have a triangle with the following dimensions 4,6,11 ??
@@terry_willisI agree with you.
Never assume the diagram is to scale. In math problems the numbers stated overrule any drawing. In other words, trust the numbers, and treat the drawing as an approximation.
@dhole8429 Never assume I'm assuming.
Pythagoras is your friend!
Obtuse triangle
dNo triangle