**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 16**

**16.** If, AD and PM are medians of triangles ABC and PQR respectively where ~ , prove that

**Solution:**

**Given:** AD and PM are medians of triangle ABC and PQR respectively.

And, ~

**To Prove:**

**Proof: ** We have ~

Therefore, **{Corresponding angles of similar triangles are equal} ** **(1)**

Also, we can say that

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

** {AD and PM are medians} (2)**

From **(1)** and **(2)**, we can say that by **SAS similarity criterion**, ~ **(3)**

From **(3), **we can say that

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

**Hence Proved**