Answer:
EF = 12 , AD = 7 , BC = 17
Step-by-step explanation:
The midsegment of a trapezoid is calculated as
(sum of bases )÷ 2
EF is the midsegment of trapezoid ABCD with bases AD and BC , then
EF = [tex]\frac{AD+BC}{2}[/tex] ( substitute values )
x = [tex]\frac{x-5+2x-7}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2x = x - 5 + 2x - 7
2x = 3x - 12 ( subtract 2x from both sides )
0 = x - 12 ( add 12 to both sides )
12 = x
Then
EF = x = 12
AD = x - 5 = 12 - 5 = 7
BC = 2x - 7 = 2(12) - 7 = 24 - 7 = 17
