Example 12. In th e given fig ABC and PQR are 
isosceles triangles in which 
.
 

Solution:-
Given:- In 
 and PQR, 
 and PQ = PR
To find: 
Proof:- 
 is isosceles with AB = AC 
is isosceles with PQ = PR
From (1) and (2) we get
Or,
![]()
![]()
from (3) and (4)
We know
| Subjects | Maths (Part-1) by Mr. M. P. Keshari | 
| Chapter 1 | Linear Equations in Two Variables | 
| Chapter 2 | HCF and LCM | 
| Chapter 3 | Rational Expression | 
| Chapter 4 | Quadratic Equations | 
| Chapter 5 | Arithmetic Progressions | 
| Chapter 6 | Instalments | 
| Chapter 7 | Income Tax | 
| Chapter 8 | Similar Triangles |