The measure of one of the smaller base angles of an isosceles trapezoid is 60 degrees. The shorter base is 5 inches long and the altitude is 3 sqrt 3 inches long. What is the number of inches in the perimeter of the trapezoid?
The measure of one of the smaller base angles of an isosceles trapezoid is 60 degrees. The shorter base is 5 inches long and the altitude is 3 sqrt 3 inches long. What is the number of inches in the perimeter of the trapezoid?
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The length of the longer base is 2(3√3 / √3) + 5 = 11
The length of the leg(s) is sqrt[(3√3)2 + 33] = 6
The perimeter is P = 5 + 11 + 2*6 = 28 inches ☺