# Angles B and C of triangle ABC are 73 degrees and 77 degrees, respectively.

August 24, 2021 | education

| **Angles B and C of triangle ABC are 73 degrees and 77 degrees, respectively. Find BC if the radius of the circle around triangle ABC is 9.**

Determine the value of the angle of the triangle at the vertex A.

CAB = 180 – 77 – 73 = 30.

Let’s use the formula for determining the radius of a circle around a triangle.

R = BC / (2 * SinA) = BC / (2 * Sin30).

Let us express from the formula BC.

BC = R * Sin 30 = 9 * 2 * 1/2 = 9cm.

Answer: Side BC = 9 cm.

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