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An isosceles triangle ABC is inscribed in a circle $x 2 + y 2 = a 2$ with vertex $A a, 0$ and the base angles B and C each equal to $75 o$ then $B C =$

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a 32

a / 2

2 a 3

answer is A.

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Detailed Solution

B_= C = 75 ∘, B A C = 30 ∘ B O C ¯ = 60 ∘

∴ △ B O C i s e q u a i l a t e r a l ∴ B C = O B = ∣ a

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