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An isosceles triangle of sides 13cm, 13cm, 10cm is inscri...

An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?

A.

7cm

B.

12cm

C.

8cm

D.

36cm

E.

69cm

Correct answer is A

In ΔDAC,DAC=θ

sinθ=513

\theta = 22.6°

< DOC = 22.6° \times 2 = 45.2°

\sin 45.2 = \frac{5}{r} \implies r = \frac{5}{\sin 45.2}

r = 7.046cm

= 7\frac{1}{24} cm