Draw a diagram for the following statements and prove that result :
In an isosceles triangle, the median joining the vertex (formed by intersection of equal sides) to the midpoint of opposite side is also an altitude.

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Solution

$\begin{matrix} I s o s c e l e s t r i a n g l e A B = A C ∴ ∠ A B C = ∠ A C B a n d A D b i sec t ∠ A ∴ B D = D C H e n c e A D i s A l t i t u d e o n B C A n s . \end{matrix}$

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Question 3
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

Prove that the medians corresponding to equal sides of an isosceles triangle are equal.

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