In parallelogram ABCD, angle A = 30 °, side AB = 20 cm, parallelogram area is 98 cm2. Find the AD side.

univerkov | February 14, 2021 | education

1. From the top B we draw the HВ height to the AD side.

2. We calculate its length through the sine of angle A:

BН: AB = sine of angle A = sine 30 °.

BH = AB x 1/2 = 20 x 1/2 = 10 cm.

3. Calculate the length of the blood pressure side using the formula for calculating the area of a parallelogram:

Parallelogram area AВСD = AD x ВН = 98 cm².

BP = 98: BP = 98: 10 = 9.8 cm.

Answer: the length of the BP side is 9.8 centimeters.

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