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McGraw Hill Integrated II, 2012 View details

1. Circles and Circumference

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Exercise 21 Page 720

Use the Segment Addition Postulate.

30.6

Practice makes perfect

Consider the given diagram.

To find AD we will use the Segment Addition Postulate. Because we are given that BC= 5.4 units, we need to find CK. Since ⊙ K has a radius of 8 units, we also know that BK= 8 and KD= 8. With this information and the length of BC, we can find CK.

BC + CK = BK

SubstituteII

BC= 5.4, BK= 8

5.4 + CK = 8

SubEqn

LHS-5.4=RHS-5.4

CK = 2.6

Since ⊙ J has a radius of 10 units, we also know that AJ= 10 and JC= 10. Finally, also knowing that CK=2.6 and KD= 8, we can find AD.

AJ + JC + CK + KD = AD

SubstituteValues

Substitute values

10+ 10+2.6+ 8=AD