Isosceles trapezoid ABCD has legs AB and CD and base BC If AB = 10y – 16, BC = 4y – 6, and CD = 8y – 4, find the value of y.
In an isosceles trapezoid, the legs are congruent. Therefore, AB = CD.
Given that AB = 10y - 16 and CD = 8y - 4, we can set up the equation:
10y - 16 = 8y - 4
Subtract 8y from both sides:
2y - 16 = -4
Add 16 to both sides:
2y = 12
Divide both sides by 2:
y = 6
Therefore, the value of y is 6.