SOLUTION: The lengths of the bases of an isosceles trapezoid are 7 and 15 inches. Each leg makes an angle of 45° with the longer base. Find the length of the legs of the trapezoid.

Algebra ->  Triangles -> SOLUTION: The lengths of the bases of an isosceles trapezoid are 7 and 15 inches. Each leg makes an angle of 45° with the longer base. Find the length of the legs of the trapezoid.       Log On


   



Question 945247: The lengths of the bases of an isosceles trapezoid are 7 and 15 inches. Each leg makes an
angle of 45° with the longer base. Find the length of the legs of the trapezoid.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

The trapezoid is symmetric about the green line.
You can make an isosceles triangle with the 45 degree angle.
The leg length is equal to the distance between half the bottom base subtracted by half the top base.
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