CBSE Class 10 Maths (Standard) 2020 · Paper 30/2/1 · Question 32

Circles 3 marks Medium

If a circle touches the side

B C

of a triangle

A B C

P

and extended sides

A B

and

A C

Q

and

R

, respectively, prove that

A Q = \frac{1}{2} (B C + C A + A B)

Answer

A Q = \frac{1}{2} (B C + C A + A B)

, i.e.

A Q

equals half the perimeter of

△ A B C

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