CBSE Class 10 Maths (Basic) 2022 · Paper 430/4/1 · Question 12(b)

Circles 4 marks Hard

A circle is touching the side

B C

△ A B C

P

and is touching

A B

and

A C

produced at

Q

and

R

respectively (see the figure). Prove that

A Q = \frac{1}{2}

(perimeter of

△ A B C

Fig. - 1

Answer

Proved:

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

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