Question

Prove that in an Isoceles Triangle, altitude and median drawn from the vertex angle are same​

Answer 1

Step-by-step explanation:

Because of this, the altitude that runs from A to the base intersects the base at its midpoint, making it the median from A to the base as well. Therefore, in an isosceles triangle, the altitude and median are the same line segment when drawn from the vertex opposite the base to the base

hope it helps

Answer 2

◼️Hii there ◼️

The median and the altitude of an isosceles triangle can be the same. The two sides of this triangle are equal because it is an isosceles triangle and the line drawn is perpendicular to the triangle and also it divides the base into two equal parts.

Let's analyze it below.

Draw a triangle PQR with PQ = PR and then draw a line segment PS perpendicular to QR.

PS is the altitude of the triangle.

It can be observed that the length of QS and SR is also the same by measurement.

Thus, S is the midpoint of QR. Therefore, PS is also a median of this triangle Hence, we can say that PS is the altitude and median of the isosceles triangle PQR.

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