The sides of the parallelogram are 10 cm and 12 cm, and the lower height is 5 cm. Find the greater height of the parallelogram.

1. The tops of the parallelogram – A, B, C, D. CD = 10 centimeters. AD = 12 centimeters. The heights BK and BH are drawn to the sides CD and AD, respectively. Smaller height BH = 5 centimeters.

S is the area of the parallelogram.

2. S = AD x BH = 12 x 5 = 60 centimeters².

3. S = CD x BK = 60 centimeters².

BK = 60: 10 = 6 centimeters.

Answer: the large height BK is 6 centimeters.



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