Through the apex of the obtuse angle B of the parallelogram ABCD, the height BK

univerkov | May 21, 2021 | education

Through the apex of the obtuse angle B of the parallelogram ABCD, the height BK is drawn to the side AD and BM to DC. AB = 5 cm, AD = 9 cm, BK = 4 cm.

Since ABCD is a parallelogram, its area is equal to the prize of keeping the length of its base by the length of the height drawn to this base.

Savsd = BK * AD = 4 * 9 = 36 cm.

Also Savsd = CD * BM.

CD = AB = 5 cm as opposite sides of the parallelogram.

BM = Savsd / CD = 36/5 = 7.2 cm.

Answer: The length of the BM height is 7.2 cm.

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