SOLUTION: The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of the trapezoid if its diagonal bisects the angle at t

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Question 1114226: The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of the trapezoid if its diagonal bisects the angle at the longer base.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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Make a sketch and find an isosceles triangle formed by the diagonal, shorter base and the lateral side of the trapezoid.


Thus you have the lateral sides of the trapezoid congruent to the shorter base.


Your trapezoid then has the sides of 5:3:3:3 units.


In total, there are 5 + 3 + 3 + 3 = 14 units.


Hence, each unit is of    = 2 inches long and the sides are of  6 in,  6 in,  6 in  and  10 in.

Solved.


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