Question

EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.

Answer 1

y = 5

Explanation:

The diagonals of the isosceles EFGH are equal. Therefore:

EG = FH

EG = 3y + 19

FH = 11y - 21

Thus:

3y + 19 = 11y - 21

Collect like terms

3y - 11y = -19 - 21

-8y = -40

Divide both sides by -8

y = 5