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Trapezoids :S
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since it's an isosceles trapezoid the two sides that are the same length will have the same slope. So if the length gains from segment DC to EF is (100 to 120) is 20, and EF is the median, I'm pretty sure that the length of AB will increase by 20 as well... If that makes any sense at all
so on side DC its length is 100. Side EF is 120, it increased by 20 so you can assume that side AB is 20 longer than side EF. (since it this is an isosceles trapezoid it will work any other trapezoid the rules do not work.)
So the midsegment is?
okay lets dumb it down...what's 120+20
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