Applying the Pythagorean Theorem

Embark on a geometric voyage as we explore the cornerstone of right triangles: the Pythagorean Theorem. This ancient and celebrated formula has stood the test of time, guiding mathematicians and students alike in understanding the relationship between the sides of a right triangle. In this tutorial, we illuminate the theorem's origins, its proof, and most importantly, its practical application. Through vibrant animations and clear, step-by-step demonstrations, we'll solve a series of problems, highlighting the theorem's utility in both simple and complex scenarios. Whether you're building foundational geometric skills, prepping for an exam, or just curious about the world of triangles, this video will be your compass. Beyond the classroom, we'll touch upon the Pythagorean Theorem's real-world applications, showcasing its omnipresence in various fields from architecture to astronomy. By the end, you'll not only master the theorem's application but also gain a deep appreciation for its significance. So, prepare to unlock the mysteries of right triangles, and dive deep into this mathematical treasure. For more explorations into the vibrant world of geometry and beyond, remember to like, share, and subscribe!
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[@isaacsolochi5502]

You are truly an amazing person.

[@drumtwo4seven]

Nice 👍

[@ArtisanTony]

I remember in my building trades class in high school I thought I had super powers because I could figure the length of a rafter when most could not :)

[@hemrajue3434]

Shan has 5 meters ladder and wants reach the top of a wall which is 4 meters high. If he places the ladder such that it just touches the top of the wall,determine the distance of the bottom ladder from the wall.
Sol. c=5m, b=4m a=?
Using Pythagoras theorem
c^2=a^2+b^2
a^2=c^2-b^2
=5^2-4^2
=(5-4)(5+4)
=1(9)=9
c^2=9
c=√9=3m.

[@mohamadfazli5575]

Hi Jason ,,it seems to me that you haven't read comments,,,I was asking you about induction... please read

[@mohamadfazli5575]

Can give first about this equation first,,,why do we start with sqare ?

[@icuppu2]

Great!!
But, please make it simpler and more basic in fundamental such as start with the 3, 4, 5 triangle relationship and add same units to taste such as mm, cm, m, km, or the antiquated imperial fractional units that prior to the abacus was useful.
Now, show that what you do to a side of the right triangle, the same proportion must be done to the other sides such as halving, doubling, tripling and in your example multiplying by a decade rather than a century.
3, 4, 5 triangle is proportional to a
30, 40, 50 triangle.
Professor, your brain cells were connected right at birth and what is normal, natural and easy to you, is not to folks like me that our brain cells aligned left instead of right as opposed to wrong.
I love your videos and keep up the great work, but keep my folk type in mind and start your example lesson plan with step A and not start with step B, C, or D and work and solve the exercise to Step Z so eloquent as you show, which I grasp about 30%, but I stop, analyze and play then rerun until I grasp approximately 70% then my move on, but later replay your videos and then I can see where I was lost and what you presume that is obvious to know.
Thank you for sharing your great wealth of knowledge.
FJB Out!