The angle of the rhombus is 30 degrees and the height is 19 centimeters. Find its area.

univerkov | June 21, 2021 | education

1. S – area of a rhombus ABCD. BE – 19 centimeters – height (drawn to the base of AD).

2. Calculate the length of the side AB in terms of one of the trigonometric functions ∠A (sine).

BE / AB = sine ∠A = sine 30 ° = 1/2.

AB = 19: 1/2 = 38 centimeters. Each of the sides of this geometric figure is 38 centimeters.

3. S = AD x BE = 38 x 19 = 722 centimeters².

Answer: S equals 722 centimeters².

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