Isosceles trapezoid ABCD has legs and and base If AB = 6y – 6, BC = 4y – 7, and CD = 7y – 12, find the value of y.

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27-04-2017
Mathematics

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Isosceles trapezoid ABCD has legs and and base If AB = 6y – 6, BC = 4y – 7, and CD = 7y – 12, find the value of y.

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taskmasters taskmasters · Answer 1 · 2017-05-08T17:52:00+02:00

taskmasters taskmasters

08-05-2017

We know that the opposite angles in the trapezoid are equal, hence, we have the following:
AB=CD
BC=AD

Solving for Y:
AB=CD

Perform transposition method and combine same term.
6Y-6=7Y-12
7Y-67 = -6 +12
Y=6

The value of Y is 6.

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