SOLUTION: If EFGH is an isosceles trapezoid, EH=4x-27, FG=x+9, EG=3y+19, and FH=11y-21, solve for x and y.

Algebra ->  Parallelograms -> SOLUTION: If EFGH is an isosceles trapezoid, EH=4x-27, FG=x+9, EG=3y+19, and FH=11y-21, solve for x and y.      Log On


   

Question 1157189: If EFGH is an isosceles trapezoid, EH=4x-27, FG=x+9, EG=3y+19, and FH=11y-21, solve for x and y.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
x=12

3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75

so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25