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# MCQ: Triangle - Class 10 Class 10 Notes | EduRev

## Class 10 : MCQ: Triangle - Class 10 Class 10 Notes | EduRev

The document MCQ: Triangle - Class 10 Class 10 Notes | EduRev is a part of Class 10 category.
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ABC is a right triangle right angled at B such that BC = 6 cm and AB = 8 cm. The radius of its incircle is • a)
3 cm
• b)
8 cm
• c)
2 cm
• d)
5 cm

Ref: https://edurev.in/question/579432/ABC-is-a-right-triangle-right-angled-at-B-such-tha

Let ABC be the right angled triangle such that ∠B = 90° , BC = 6 cm, AB = 8 cm. Let O be the centre and r be the radius of the in circle. AB, BC and CA are tangents to the circle at P, N and M.

∴ OP = ON = OM = r (radius of the circle) By Pythagoras theorem,

CA2 = AB2 + BC2

⇒ CA2 = 82 + 62

⇒ CA2 = 100

⇒ CA = 10 cm

Area of ∆ABC = Area ∆OAB + Area ∆OBC + Area ∆OCA Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

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