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

Question

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

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Amelia 2 weeks 2021-09-09T09:26:42+00:00 1 Answer 0

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    2021-09-09T09:28:40+00:00

    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.

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