The area of the rhombus is 54 and the perimeter is 36. Find the height of the rhombus.

univerkov | April 27, 2021 | education

All sides of the rhombus are equal (by definition):
AB = BC = CD = DA = P / 4 = 36/4 = 9 (conventional units).
The area of a rhombus is found by the formula:
S = AB * BH, where
ВН – rhombus height.
Then:
9BH = 54;
BH = 54/9;
ВН = 6 conventional units.
Answer: ВН = 6 conventional units.

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