**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 10**

**10.** CD and GH are respectively the bisectors of and such that D and H lie on sides AB and FE of and respectively. If, ~ , show that:

(i)

(ii) ~

(iii) ~

**Solution (i)**

It is given that ~ .

Therefore, , and **(1)**

{Corresponding angles of similar triangles are equal}

{CD and GH are bisectors of and respectively} ** (2)**

In and

**{From 1}**

**{From 2}**

Therefore, from AA similarity criterion, ~

Therefore, {Corresponding sides of similar triangles are in same ratio}

** **

**Solution (ii)**

In and

{Triangle ABC is similar to triangle FEG}

{Triangle ABC is similar to triangle FEG}

{CD and GH are bisectors of and respectively} ** **

Therefore, by AA similarity criterion, ~

**Solution (iii)**

In s**olution (i)**, we have already proved that ~ which is same as

~

**Hence Proved**