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jmc

geometry intermediate

Problem

The measure of one of the smaller base angles of an isosceles trapezoid is . The shorter base is 5 inches long and the altitude is inches long. What is the number of inches in the perimeter of the trapezoid?
problem
Solution
The triangle in the diagram is a triangle and has long leg . Therefore the short leg has length 2 and hypotenuse has length 4. The bases of the trapezoid are then 5 and and the legs are both length 4. The entire trapezoid has perimeter .
Final answer
22