Isosceles trapezoid abcd has legs ab and cd and base bc. if ab=5y - 10, bc=6y+2, and cd = 2y+8, find the value of y. a) 12 b) 1.5 c) 6 d) 3

Hello from MrBillDoesMath!

Choice C    (6)

Discussion:

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB = 5y-10 and CD = 2y+8) are equal.  In other words,

5y - 10 = 2 y + 8

Subtract 2y from each side:

5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>

3y = 18 =>

y = 6

Regards,  

MrB

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