Isosceles trapezoid ABCD has legs AB and CD and base BC If AB = 7y – 4, BC = 4y – 6, and CD = 8y – 18, find the value of y.

6 answers

The key here is "isosceles". That means the legs are equal.

7y-4 = 8y-18
y = 14
ummm......... is this right?
Its right
but what about the other one 4y-6? yall only be doing the sides and it wants y but you left out the base
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

Lmk if anything is wrong or nah
You right fam thank you sm