The triangle has two sides 12 cm and 8 cm, and the angle between them is 60 degrees. Find: the area of the triangle.

univerkov | January 11, 2021 | education

If you know two sides of a triangle and the angle between them, then you can find the area of this triangle by the formula S = 1/2 * a * b * sinα.
a = 12, b = 8, sinα = sin60 ° = √3 / 2.
S = 1/2 * 12 * 8 * √3 / 2 = (12 * 8) * √3 / 4 = 24√3.
Answer: the area of a triangle is 24√3.

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