Answer: FH = 16
PART I
Concept:
Bisect means to cut or divide something into two equal parts.
In mathematics, usually bisect means cutting a segment or an angle.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
Given information
FG is 16 less than 3 times the length of GH
Let x be the length of GH
Given expression
FG = GH
Set equation
3x - 16 = x
Add 16 on both sides
3x - 16 + 16 = x + 16
3x = x + 16
Subtract x on both sides
3x - x = x + 16 - x
2x = 16
Divide 2 on both sides
2x / 2 = 16 / 2
x=8
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PART II
Concept:
In order to find the length of FH, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
FG = GH = x
x = 8
Given expression deducted from the segment addition postulate
FH = FG + GH
Substitute values into the expression
FH = x + x
FH = 8 + 8
[tex]\boxed {FH=16}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
