SOLUTION: Given: KLMN is a trapezoid, KL=MN, m∠1=m∠2, LM/KN = 8/9 , Perimeter KLMN=132 Find: The length of the midsegment

Question 1135916: Given: KLMN is a trapezoid, KL=MN,
m∠1=m∠2, LM/KN = 8/9 , Perimeter KLMN=132
Find: The length of the midsegment
Answer by greenestamps(13208) (Show Source): You can put this solution on YOUR website!

There is not enough information given.

The statement that m∠1=m∠2 is useless, since angles 1 and 2 are not defined.

So all we have is an isosceles trapezoid with bases of length 8x and 9x and two sides of length y, with a perimeter of 132:

One equation, two unknowns, with the only restriction being that x and y are non-negative, means an infinite number of solutions.

We know the length of the midsegment is 17x/2, but that value is dependent on y; we can't find a unique solution.
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