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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?

 Apr 21, 2022
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sin 60 =   altitude / side length

 

side length =  alltitude / sin 60 =   ( 3sqrt 3) /  [ sqrt 3 / 2 ]   =   6

 

The longer base is  found as

 

5  +  2a

 

Where a  =   6/2  = 3

 

So the longer base =   11

 

So  the perimeter =   5 + 11 + 2*6   =  28

 

See the image below :

 

 

 

 

cool cool cool

 Apr 21, 2022

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