SOLUTION: The parallel sides of a trapezoid are 8 inches and 12 inches long, while one of the non- parallel sides is 6 inches long. How far must this side be extended to meet the extension o

Question 1156831: The parallel sides of a trapezoid are 8 inches and 12 inches long, while one of the non- parallel sides is 6 inches long. How far must this side be extended to meet the extension of the opposite side? What are the possible lengths for the opposite side?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

.
AB ||CD
Therefore triangle EAB ~ triangle ECD ( Two angles congruent)
Therefore AB/CD = EA/EC
8/12 =x/(x+6)
3/4 = x/(x+6)
3x+18=4x
x=18

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