Given EF is the midsegment of Isosceles trapezoid ABCD. BC = 17x,EF = 22.5x + 9 and AD = 30x + 12, find AD.?

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Given EF is the midsegment of Isosceles trapezoid ABCD. BC = 17x,EF = 22.5x + 9 and AD = 30x + 12, find AD.?

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2007-08-24 04:40:05 · 1 answers · asked by ryan s 1 in Science & Mathematics ➔ Mathematics

1 answers

The question is not clear without figure. If BC and AD are bases, we have: 2EF = BC + AD, or: 45x + 18 = 47x + 12 and hence x = 3 and AD = 102. But if CD and AB would be the bases, we would have BC = AD = 17x = 30x + 12 and hence x be negative. It should not be the case. Therefore, AD = 102

2007-08-24 08:38:46 · answer #1 · answered by Hahaha 7 · 1⤊ 0⤋