**CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 7**

7. In fig 6.38, altitudes AD and CE of intersect each other at the point P. Show that:

(i) ~

(ii) ~

(iii) ~

(iv) ~

**Solution (i) **

In, and

{Each 90 degrees}

(Vertically Opposite angles}

Therefore, by AA similarity criterion, ~

**Solution (ii)**

In, and

{Common angle}

{Each 90 degrees}

Therefore, by AA similarity criterion, ~

**Solution (iii) **

In, and

{Each 90 degrees}

{Common angle}

Therefore, by AA similarity criterion, ~

**Solution (iv)**

In and

{Each 90 degrees}

(Common angle}

Therefore, by AA similarity criterion, ~