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kolbaska11 [484]
4 years ago
11

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

e length of cd is 8Y -18 find the value of y
Mathematics
1 answer:
vichka [17]4 years ago
3 0

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.

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