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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Surface Areas of Prisms and Cylinders

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Exercise 51 Page 821

Use the Segment Addition Postulate.

9.5

Practice makes perfect

Consider the given diagram.

We know that the radius of a circle is half its diameter. With this information, and knowing that the diameters of ⊙ S and ⊙ T are 14 and 9 inches, respectively, we can find TS and TY. ccc TS=14/2 & & TY=9/2 ⇕ & and & ⇕ TS= 7in & & TY= 4.5in With this information and using the Segment Addition Postulate, we can find SY.

TY + SY = TS

TS= 7, TY= 4.5

4.5 + SY = 7

LHS-4.5=RHS-4.5

SY=2.5

We found that SY= 2.5in. Moreover, since SX is also a radius of ⊙ S, we know that SX= 7in. With this information and using the Segment Addition Postulate one more time, we can find YX.

SY + SX = YX

SX= 7, SY= 2.5

2.5 + 7 = YX

▼

Solve for YX

Add terms

9.5 = YX

Rearrange equation

YX = 9.5

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Exercises p.817-821