ABCD is an isosceles trapezoid with legs AB and CD and base BC . If the length of AB is 7y – 4, the length of BC is 4y – 6 and the length of CD is 8y – 18, find the value of y.
Since ABCD is an isosceles trapezoid, the legs AB and CD are congruent. This means that their lengths are equal. Therefore, we can set up the equation 7y – 4 = 8y – 18.
Simplifying the equation, we have -4 + 18 = 8y – 7y.
This gives us 14 = y.
Therefore, the value of y is 14.