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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

2. Measuring and Constructing Segments

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Exercise 22 Page 393

Find FH with the Segment Addition Postulate. Note that we are given the length of the longer segment.

FH=13

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, H is between F and G, so FG is the sum of FH and HG. FG = FH + HG From the diagram, we know that the length FG is 53 and the length HG is 40. Now, we can use this to calculate FH.

FG = FH + HG

FG= 53, HG= 40

53 = FH + 40

LHS-40=RHS-40

13=FH

Rearrange equation

FH=13

The length FH is 13.

Subchapter links

Communicate Your Answer p.387

Monitoring Progress p.388-391

Exercises p.392-394