The height of the rhombus is 14 cm, its acute angle is 44 degrees. Calculate the perimeter of the rhombus.
| February 1, 2021 | education
Since the ВН is the height of the trapezoid, the ВCH triangle is rectangular, in which one of the corners is 44.
Determine the length of the BC hypotenuse through the leg and the opposite angle.
ВС = ВН / Sinвсн = 14 / Sin44 = 14 / 0.69 = 20.15 cm.
Since all sides of a rhombus are equal AB = BC = СD = AD = 20.15 cm.
Let’s define the perimeter of the rhombus.
P = 4 * BC = 4 * 20.15 = 80.6 cm.
Answer: The perimeter of the rhombus is 80.6 cm2.
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