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McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
1. Circles and Circumference
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Exercise 20 Page 720

Use the Segment Addition Postulate.

12.6

Practice makes perfect

Consider the given diagram.

To find JK we will use the Segment Addition Postulate. Because we are given that BC= 5.4 units, we need to find JB and CK. Since ⊙ J has a radius of 10 units, we also know that JC= 10. With this information and the length of BC, we can find JB.

JB + BC = JC
SubstituteII

BC= 5.4, JC= 10

JB + 5.4 = 10
SubEqn

LHS-5.4=RHS-5.4

JB= 4.6

Similarly, since ⊙ K has a radius of 8 units, we know that BK= 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

Finally, knowing that JB= 4.6, BC= 5.4, and CK=2.6, we can find JK.

JB + BC + CK = JK
SubstituteValues

Substitute values

4.6+ 5.4+2.6=JK
AddTerms

Add terms

12.6=JK
RearrangeEqn

Rearrange equation

JK=12.6
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Exercises 2 (Page 719)
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