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Consider the triangle below, in which the angle is measured in radians.

Triangle with two sides and included angle

  1. Find the exact length of the side x.

  2. Hence, find the other two angles in the triangle, giving your answers to 3 s.f..


Use the cosine rule. Make sure your calculator is in radians mode.


To find the other sides, use the sine rule.

Recall that, in radians, the angles in a triangle sum to π.