SOLUTION: A trapezoid has a shorter base length of 14, an acute base angle of 72°, and a height of 8. What is the area of the isosceles trapezoid?

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Question 1159244: A trapezoid has a shorter base length of 14, an acute base angle of 72°, and a height of 8. What is the area of the isosceles trapezoid?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


The right triangles on each side are congruent.  



The area of each triangle = 


So the area of the two triangles = 2(10.39743928) = 20.79486056

The area of the rectangle between the two triangles = 
(base of rectangle)∙h = 14∙8 = 112

Total area of trapezoid = 20.79486056 + 112 = 132.7948606.

Edwin
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