The height BK of the rhombus is 16 cm. Point K lies on the side AD. The BAD of the diamond is 53.

univerkov | June 2, 2021 | education

The height BK of the rhombus is 16 cm. Point K lies on the side AD. The BAD of the diamond is 53. Calculate the perimeter of the diamond.

Since BK is the height of the rhombus, triangle ABK is rectangular.

In a right-angled triangle ABK, we determine the length of the side AB.

SinBАК = BК / АB.

AB = BK / Sin53 = 16 / Sin53.

Since the quadrangle ABCD is a rhombus, the lengths of all its sides are equal, then AB = BC = CD = BD = 16 / Sin53.

Then the perimeter of the rhombus will be: Ravsd = 4 * AB = 4 * 16 / Sin53 = 64 / Sin53.

Answer: The perimeter of the rhombus is 64 / Sin53.

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