The height BK, drawn to the side AD of the parallelogram ABCD, divides this side into two segments AK = 7 cm

univerkov | October 8, 2021 | education

The height BK, drawn to the side AD of the parallelogram ABCD, divides this side into two segments AK = 7 cm, KD = 15 cm Find the area of the parallelogram if the angle A = 45 degrees

1. We calculate the length of the height of the VC through one of the trigonometric functions ∠А (tangent):

BK: AK = tangent ∠A = tangent 45 ° = 1.

BK = AK x 1 = 7 x 1 = 7 centimeters.

2.AD = AK + DK = 7 + 15 = 22 centimeters.

3. Calculate the area S of the parallelogram:

S = AD x BK = 22 x 7 = 154 centimeters².

Answer: S equals 154 centimeters².

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