Question

10) Isosceles trapezoid ABCD has legs AB and CD and base BC. If AB = =

find the value of 1.
8C = 2 - 5. and CD= 6 - 17.
find the value of y

Answer 1

y=14

Explanation:

We are told that the legs of the isosceles trapezoid are AB and CD

AB = 7y - 4

CD = 8y - 18

In any isosceles trapezoid, the two legs are of equal length.

Therefore, AB = CD

⇒ 7y - 4 = 8y - 18

Add 18 to both sides of the equation

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y