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प्रश्न
In a triangle ABC, the incircle (centre O) touches BC, CA and AB at points P, Q and R respectively. Calculate:
i)`∠`QPR .
उत्तर
The incircle touches the sides of the triangle ABC and
OP ⊥ BC,OQ ⊥ AC,OR ⊥ AB
i) Now arc RQ subtends`∠`QOR at the centre and `∠`QPR at the remaining part of the circle.
∴ `∠`QPR = `1/2` `∠` QOR
⇒ `∠`QPR = `1/2 xx120°`
⇒ `∠` QPR = 60°
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