Answer:
x = 10 or IJ = 10
Step-by-step explanation:
The Median Theorem of a Trapezoid states that:
the median of a trapezoid is parallel to its bases; and
measures half the sum of the bases.
The median segment connects the midpoints of the opposite legs of the trapezoid.
IJ is the median of trapezoid EFGH. The bases are HG and EF.
IJ = x
HG = 8
EF = 12
(Please check the picture attached. There's a typo error on the posted question against the photo. The median is IJ, not IG.)
Since the median is equal to half the sum of the measures of its bases, then:
IJ = (HG + EF)/2
IJ = x
x = (8 + 12)/2
x = (20)/2
x = 10
IJ = 10
