MCQ: Triangle - Class 10 Class 10 Notes | EduRev

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

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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
Correct answer is option 'C'. Can you explain this answer?

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.

MCQ: Triangle - Class 10 Class 10 Notes | EduRev

AB, BC and CA are tangents to the circle at P, N and M.

∴ OP = ON = OM = r (radius of the circle)

MCQ: Triangle - Class 10 Class 10 Notes | EduRev

By Pythagoras theorem,

 CA2 = AB2 + BC2

 ⇒ CA2 = 82 + 62

⇒ CA2 = 100

⇒ CA = 10 cm

Area of ∆ABC = Area ∆OAB + Area ∆OBC + Area ∆OCA

MCQ: Triangle - Class 10 Class 10 Notes | EduRev

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