Question

Use the given figure to find the length of FG

Answer 1

Explanation:

5x - 6 = 3x + 4

5x - 3x = 4 + 6

2x = 10

x = 5

FG = 5x - 6

FG = 5×5 - 6

FG = 25 - 6

FG = 19

I hope I helped you.

Answer 2

FG = 19

Explanation:

The two sides of the triangle are equal since JG is a perpendicular bisector

FG = HG

5x-6 = 3x+4

Subtract 3x from each side

5x-3x -6 = 3x+4-3x

2x-6 =4

Add 6 to each side

2x-6+6 =4+6

2x = 10

Divide by 2

2x/2 = 10/2

x =5

We want to find FG

FG = 5x-6

FG = 5(5)-6

= 25-6

= 19