**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.5 Question 2**

**2.** PQR is a triangle right angled at P and M is a point on QR such that PM QR. Show that

**Solution:**

**Given: **PQR is a triangle right angled at P. Also, PM QR.

**To prove: **

**Proof:**

In and

{Common angle}

{Each 90 degrees}

By **AA similarity criterion**, ~

Therefore, **(1)**

**{Corresponding sides of similar triangles are proportional}**

Similarly, **by AA similarity criterion**, we can prove that ~

Therefore, **(2)**

**{Corresponding sides of similar triangles are proportional}**

Multiplying** (1)** by** (2)**, we get

**Hence Proved**