Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
1. Lines and Segments That Intersect Circles
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Exercise 50 Page 536

Find AB with the Segment Addition Postulate by subtracting the length of BC from the length of AC.

AB=3

Practice makes perfect
To find AB, 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, B is between A and C, so we can get the length AC by adding AB and BC. AC = AB + BC From the diagram, we know that the length AC is 10 and the length BC is 7. Now, we can use this to calculate AB.
AC = AB + BC
10=AB+ 7
3 = AB
AB = 3
The length AB is 3.