Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
2. Measuring and Constructing Segments
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Exercise 17 Page 16

Find FH with the Segment Addition Postulate by adding the length of FG and GH.

FH=23

Practice makes perfect
To find FH, we should use the Segment Addition Postulate. This postulate tells us that, if we have a point between two points, we can add the lengths of the two smaller segments to find the longer segment length. In our case, G is between F and H, so we can get the length FH by adding FG and GH. FH = FG + GH From the diagram, we know that the length FG is 11 and the length GH is 12. Now, we can use this to calculate FH.
FH=FG+GH
FH= 11+ 12
FH=23
The length FH is 23.