CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/1 · Question 24

Circles 2 marks Hard

A circle is touching the side BC of a

△ A B C

at the point P and touching AB and AC produced at points Q and R respectively. Prove that

A Q = \frac{1}{2}

(Perimeter of

△ A B C

Excircle touching BC at P, AB produced at Q, AC produced at R.

Answer

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

(Perimeter of

△ A B C

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