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Question

In the given figure ABC is equilateral. If IE = 4 cm , IB = ____.


A

8 cm

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B

16 cm

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C

4 cm

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D

10 cm

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Solution

The correct option is A

8 cm


ABC is equilateral .........(Given)

In IBE , IBC=30 .........BI bisects (ABC)

sin 30=rR ...........(sin 30=12)

r : R = IE : IB = 1 : 2

IE = 4 cm

IB = 8 cm


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