Question

In the diagram below of triangle DEF, G is a midpoint of DE and H is a midpoint of EF. IfGH = 50 -- 87, and DF = 9x + 0, what is the measure of GH? E H D F

Answer 1

Answer:

GH = 18

Explanations:

From the diagram:

DF = 9x + 0

GH = 50 - 8x

Since G is a midpoint of DE and H is a midpoint of EF, using the midpoint theorem:

DF = 2GH

9x + 0 = 2 (50 - 8x)

9x = 100 - 16x

9x + 16x = 100

25x = 100

x = 100/25

x = 4

Substituting the value of x into GH = 50 - 8x

GH = 50 - 8(4)

GH = 50 - 32

GH = 18