**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 12**

**12.** Sides AB, BC and median AD of a triangle ABC are respectively proportional to sides PQ, QR and median PM of . Show that ~ .

**Solution:**

{Given}

{AD and PM are medians}

~ {By SSS similarity criterion}

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

It is also given that **(2)**

Therefore, by SAS similarity criterion, ~

**Hence Proved**