Question

In the diagram below, FG is parallel to CD. If DG = 5, FG = 3,

and CD= 6, find the length of EG. Figures are not necessarily
drawn to scale. State your answer in simplest radical form, if necessary.

Answer 1

The value of line EG would be = 5.

How to calculate the value of Line EG?

To calculate the value of EG form the given figure, Tue following steps should be taken as follows:

The ratio of the corresponding sides are given as follows:

FG/CD = EG/ED

where:

FG = 3

CD = 6

EG = X

ED = 5+X

That is:

3/6 = X/5+X

3(5+X) = 6x

15+3x = 6x

15 = 3x

X= 15/3 = 5