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If [tex]$FG = 2$[/tex] units, [tex]$FI = 7$[/tex] units, and [tex][tex]$HI = 1$[/tex][/tex] unit, what is [tex]GH[/tex]?

A. 3 units
B. 4 units
C. 5 units
D. 6 units

Sagot :

GinnyAnswer
To find the length of segment [tex]\( GH \)[/tex] given the other segments, we start with the given information:

[tex]\[ FG = 2 \text{ units} \][/tex]
[tex]\[ FI = 7 \text{ units} \][/tex]
[tex]\[ HI = 1 \text{ unit} \][/tex]

We are to determine the length of segment [tex]\( GH \)[/tex]. The relationship provided in the problem can be described by the equation involving the segments:

[tex]\[ FI = FG + GH + HI \][/tex]

Substitute the given values into the equation:

[tex]\[ 7 = 2 + GH + 1 \][/tex]

Next, combine the known lengths on the right-hand side:

[tex]\[ 7 = 3 + GH \][/tex]

To isolate [tex]\( GH \)[/tex], subtract 3 from both sides of the equation:

[tex]\[ GH = 7 - 3 \][/tex]

Perform the subtraction:

[tex]\[ GH = 4 \][/tex]

Thus, the length of segment [tex]\( GH \)[/tex] is [tex]\( 4 \)[/tex] units. The correct answer is:

[tex]\[ \boxed{4 \text{ units}} \][/tex]
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