Question

Find the length indicated.
Find FG
A) 4
C) 3
B) 5
D) 16

Answer 1

B: FG = 5.

Explanation:

Notice since FG is expressed in terms of x, we just need to find x to get the answer.

1. Find EG in terms of line segments:

EG = EF + FG

2. Substitute the given values.

EF = x + 6

FG = x + 5

EG = (x + 6) + (x + 5) = 2x + 11

3. Equate.

2x + 11 = 11.

2x = 0

x = 0

4. Plug in x in FG's expression

FG = x + 5

FG = 0 + 5

FG = 5