**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.5 Question 3**

**3.** ABD is a triangle right angled at A and AC BD. Show that

(i)

(ii)

(iii)

**Solution (i):**

**Given: **ABD is a triangle right angled at A. Also, AC BD

**To Prove: **

**Proof: **In and

{Each 90 degrees}

{Common angle}

By **AA similarity criterion**, ~

Therefore,

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

**Hence Proved**

** **

**Solution (ii)**

**Solution (iii)**

In and

{Each 90 degrees}

{Common angle}

By, **AA similarity criterion**, ~

Therefore,

**Hence Proved**