The sides of the parallelogram are 12 and 9 cm, and its area is 36 cm. Find the heights of the parallelogram.

univerkov | July 6, 2021 | education

1. The tops of the parallelogram – A, B, C, D. AB = 9 centimeters. AD = 12 centimeters. Heights

BK and BН are drawn to the sides of CD and AD, respectively.

S = 36 centimeters² – parallelogram area.

2. S = CD x BK = 36 centimeters².

BK = 36: 9 = 4 centimeters.

3. S = AD x BH = 36 centimeters².

BH = 36: 12 = 3 centimeters.

Answer: the height BH is 3 centimeters, the height BK is 4 centimeters.

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