What is the length of GF? LH is the mid set of the trapezoid
![What is the length of GF LH is the mid set of the trapezoid class=](https://us-static.z-dn.net/files/de9/830edab159a81948f0589277fc95497a.png)
Answer:
62
Step-by-step explanation:
The midsegment of a trapezoid is equal to half the sum of the bases.
The midsegment is HL while the bases are JK and GF
So HL = ( JK + GF ) / 2
JK = 12 and HL = 37
to find the length of GF we plug these values in and solve for GF
HL = ( JK + GF ) / 2
plug in JK = 12 and HL = 37
37 = ( 12 + GF ) / 2
multiply both sides by 2
74 = 12 + GF
subtract 12 from both sides
62 = GF