The area of the rhombus is 63 and the perimeter is 36. Find the height of the rhombus.

univerkov | April 10, 2021 | education

Given: ABCD rhombus, AH height of the rhombus ABCD. The area of the rhombus ABCD = 63, the perimeter of the rhombus ABCD = 36. Find the height AH -?
The perimeter of the rhombus (this is the sum of the lengths of all sides) ABCD = AB + BC + CD + DA. The sides of the rhombus are equal to each other, which means AB = BC = CD = DA = 36: 4 = 9. The area of the rhombus ABCD = AH * CD. We substitute instead of CD = 9, and instead of the area of the rhombus ABCD = 63. We get: 63 = AH * 9; AH = 63: 9; АH = 7. Answer: the height of the rhombus is equal to the number 7.

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