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Question

In the given right angled isosceles triangle ABC, if AC = 10 cm then determine the area of triangle in square cm.

  1. 25

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Solution

The correct option is A 25

In triangle ABC, ABC=90o.
AB=BC(Since, ABC is an isosceles triangle)

So, θ=α=45o

cosθ=12

ABAC=12

AB=AC2

AB=52 cm

And, sinθ=12

BCAC=12

BC=52 cm

Area of triangle=12(Base×Height)=12(52×52)=25 cm2


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