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

univerkov | 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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