ABCD is an isosceles trapezoid with legs line AB.
and line CD
and base line BC
If the length of line AB
=10y-16, the length of line BC
= 4y-6 and the length of line CD
=8y-4, find the value of y. Make sure to show ALL of your work in order to receive full credit.
Since ABCD is an isosceles trapezoid, the lengths of its legs AB and CD are equal. This can be written as:
10y - 16 = 8y - 4
To isolate y, we can subtract 8y from both sides, and add 16 to both sides:
10y - 8y = -4 + 16
2y = 12
Finally, dividing both sides by 2, we find:
y = 6