Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1-3. Quiz
Continue to next subchapter

Exercise 14 Page 404

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

AC=51

Practice makes perfect

To find AC, 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, C is between A and B, so AB is the sum of AC and CB. AB = AC + CB From the diagram, we know that the length AB is 62 and the length CB is 11. Now, we can use this to calculate AC.

AB = AC + CB
62 = AC + 11
51=AC
AC=51

The length AC is 51.