Difference between Median,Altitude & Perpendicular Bisector | Concept Clarification| Common Mistakes

Difference between Median,Altitude & Perpendicular Bisector | Concept Clarification| Common Mistakes
One must watch this Lecture.This video Helps you to Clear your doubts / Concept in difference between Median, Altitude and Perpendicular bisector
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Difference Between Median , Altitude and Perpendicular Bisector
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length.
In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude. The intersection of the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex. It is a special case of orthogonal projection.
A perpendicular bisector can be defined as a line segment which intersects another line perpendicularly and divides it into two equal parts. Two lines are said to be perpendicular to each other when they intersect in such a way that they form 90 degrees with each other. And, a bisector divides a line into two equal halves. Thus, a perpendicular bisector of a line segment AB implies that it intersects AB at 90 degrees and cuts it into two equal halves.
Properties of a Perpendicular Bisector
It divides AB into two equal halves or bisects it.
It makes right angles with (or is perpendicular to) AB.
Every point in the perpendicular bisector is equidistant from point A and B.
While working with practical geometry, you will often find the application of perpendicular bisectors; say when you are asked to draw an isosceles triangle, or when you have to determine the centre of a circle, etc. Below are the steps to construct a perpendicular bisector of a line using a compass and a ruler.
The perpendicular bisector bisects PQ at a point J, that is, the length PJ is equal to JQ. And the angle between the two lines is 90 degrees.
Altitudes can be used in the computation of the area of a triangle: one half of the product of an altitude's length and its base's length equals the triangle's area. Thus, the longest altitude is perpendicular to the shortest side of the triangle. The altitudes are also related to the sides of the triangle through the trigonometric functions.
Meridian is the segment joining a vertex to the mid-point of the opposite side
Perpendicular from a vertex to opposite side is called altitude.
A Line which passes through the mid-point of a segment and is perpendicular on the segment is called the perpendicular bisector of the segment.
Median:
Altitude:
Angle Bisectors:
Perpendicular Bisectors:
Midsegment:
A segment joining any vertex to
the midpoint of the opposite side.
A segment from any vertex
perpendicular to the line
containing the opposite side.
A line or ray that splits
an angle into two
equal angles.
A line or ray that divides a line
segment into two equal parts creating
a right angle with the line segment.
A line segment connecting
the midpoints of two sides
of a triangle
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Kya median or PERPENDICULAR BISECTOR ANGLE BISCETOR BHI HONGEY ANGLE a ke liye

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I was confused between Altitude and median
Now this concept is clear

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Pa sir perpendicular bisector zaroori nhi ki combination ho altitude or median ka perpendicular bisecto me sirf line perpendicular hoti hai or base ko bisect karti hai ye zaroori nhi ki 3 vertex ko cut kare..

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Sir In Altitude :- D - (90°) on ∆ADB and ∆ADC ?
Please reply sir

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This helped me to understand between median and altitude thank you so much sir ☺️☺️

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Good.

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Is perpendicular bisector is also a bisector of angle. Please explain

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Sir can you explain differences between perpendicular bisectors and altitudes...😅

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Sir angle ko kon bisect krta hai
Is chiz me doubt hai

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Sir to kya jo median BE hai wo angle B ka bisector ho sakta hai ek sath dono
Ya phir ko angle bisector hai to kya wo kisi ka median ho sakta hai

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