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

**Solution:**

The median and the altitude of an isosceles triangle can be the same.

First, draw an isosceles triangle and draw a line that divides them into two equal parts.

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

Draw a triangle PQR 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 PQ and PR is also the same.

Therefore, PS is also a median of this triangle.

Let us analyze the figure shown below.

**Video Solution:**

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

### NCERT Solutions for Class 7 Maths - Chapter 6 Exercise 6.1 Question 3

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

Refer to the diagrams given in the solution