Answer:
28 units
Step-by-step explanation:
Because of triangles FEG and FDH are similar, so DH=EG. Or you can't find out the answer. ;)
The measure of the line segment EG will be 8 units.
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
Triangles ΔFEG and ΔFDH are similar.
If segment DH is 28 units.
The ratio of the sides of the triangle ΔFEG and ΔFDH will be
FE / FD = FG / FH = EG / DH
The length of the FD will be
FD = FE + ED
FD = 6 + 15
FD = 21 units
The length of the FH will be
FG = FG + GH
FG = 10 + 25
FG = 35 units
Then the ratio will be
6 / 21 = 10 / 35 = EG / 28
2 / 7 = 2 / 7 = EG / 28
Taking first term and the last term, then the equation will be
EG / 28 = 2 / 7
EG = (2/7) x 28
EG = 2 x 4
EG = 8
Thus, the measure of the line segment EG will be 8 units.
The complete question is attached below.
More about the triangle link is given below.
https://brainly.com/question/25813512
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