ABCD is an isosceles trapezoid with legs AB & CD and base BC if the length of AB is 7Y-4 the length of BC is for 4y-6 and th

Question

3 years ago

11

e length of cd is 8Y -18 find the value of y

1 answer:

vichka [17] · Answer 1 · 2022-03-01T09:28:50+03:00

Answer:

The value of y is 14.

Step-by-step explanation:

Given,

Length of AB = $7y-4$

Length of BC = $4y-6$

Length of CD = $8y-18$

Since ABCD is an isosceles trapezoid then according to property of trapezoid which is given below;

"In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length."

So Length of AB = Length of CD

$7y-4 = 8y-18\\8y-7y=-4+18\\y= 14$

Hence the value of y is 14.