ABC – triangle, angle A = 75 degrees, angle C = 75 degrees AB = 12 cm Find the area of the triangle.

univerkov | August 1, 2021 | education

Since the angle A = angle C, then the triangle ABC is isosceles, therefore AB = BC;

The angle between them is B = 180 ° – (75 ° + 75 °) = 30 °;

The formula for calculating the area of a triangle on two sides and the angle between them:

S = 1/2 * AB * BC * sin B;

sin 30 ° = 1/2;

S = 1/2 * 12 * 12 * 1/2 = 36 (cm²);

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