abcd is an isosceles trapezoid with legs AB and CD and base BC. If the length of AB is 7y-4, the length of BC s 4y-6 and the length of CD is 8y-18, find the value of y. 30 points for brainliest!
Accepted Solution
A:
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
Subtract 7y from both sides of the equation 7y - 7y + 14 = 8y - 7y 14 = y ⇒ y = 14