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

Respuesta :

Answer:

The value of y is 14.

Step-by-step explanation:

Given,

Length of AB = [tex]7y-4[/tex]

Length of BC = [tex]4y-6[/tex]

Length of CD =[tex]8y-18[/tex]

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

[tex]7y-4 = 8y-18\\8y-7y=-4+18\\y= 14[/tex]

Hence the value of y is 14.

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