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

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

Correct Answer: Option A

Explanation

In (Delta DAC, stackrelfrown{DAC} = theta)

(sin theta = frac{5}{13})

(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)

= (7frac{1}{24} cm)