Exams › SSC CGL (Prelims) › General

Two sides of a triangle measure 12 cm and 16 cm with an included angle of 150 degrees. Find the area of the triangle.

1. 48 cm^2
2. 96 cm^2
3. 48*sqrt(3) cm^2
4. 96*sqrt(3) cm^2

Correct answer: 48 cm^2

Solution

Area = (1/2) x 12 x 16 x sin 150 degrees. Since sin 150 = 1/2, area = (1/2) x 192 x (1/2) = 48 cm^2.

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