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Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
4. Volumes of Prisms and Cylinders
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Exercise 53 Page 724

Use the Pythagorean Theorem.

240 ft

Practice makes perfect

To find the missing side of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with c=300 feet and b=180 feet.

Let's substitute these values into the formula.

a^2+b^2=c^2
SubstituteII

b= 180, c= 300

a^2+ 180^2= 300^2
â–¼
Solve for a
CalcPow

Calculate power

a^2+32 400=90 000
SubEqn

LHS-32 400=RHS-32 400

a^2=90 000-32 400
SubTerms

Subtract terms

a^2=57 600
SqrtEqn

sqrt(LHS)=sqrt(RHS)

a=sqrt(57 600)
CalcRoot

Calculate root

a=240

Since a negative side length does not make sense, we only need to consider positive solutions.

Subchapter links expand_more
arrow_right Lesson Check p.721
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Lesson Check 2 (Page 721)
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arrow_right Practice and Problem-Solving Exercises p.721-724
Practice and Problem-Solving Exercises 6 (Page 721)
Practice and Problem-Solving Exercises 7 (Page 721)
Practice and Problem-Solving Exercises 8 (Page 721)
Practice and Problem-Solving Exercises 9 (Page 721)
Practice and Problem-Solving Exercises 10 (Page 721)
Practice and Problem-Solving Exercises 11 (Page 721)
Practice and Problem-Solving Exercises 12 (Page 721)
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Practice and Problem-Solving Exercises 14 (Page 721)
Practice and Problem-Solving Exercises 15 (Page 721)
Practice and Problem-Solving Exercises 16 (Page 721)
Practice and Problem-Solving Exercises 17 (Page 721)
Practice and Problem-Solving Exercises 18 (Page 722)
Practice and Problem-Solving Exercises 19 (Page 722)
Practice and Problem-Solving Exercises 20 (Page 722)
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Practice and Problem-Solving Exercises 22 (Page 722)
Practice and Problem-Solving Exercises 23 (Page 722)
Practice and Problem-Solving Exercises 24 (Page 722)
Practice and Problem-Solving Exercises 25 (Page 722)
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Practice and Problem-Solving Exercises 35 (Page 723)
Practice and Problem-Solving Exercises 36 (Page 723)
Practice and Problem-Solving Exercises 37 (Page 723)
Practice and Problem-Solving Exercises 38 (Page 723)
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Practice and Problem-Solving Exercises 42 (Page 723)
Practice and Problem-Solving Exercises 43 (Page 724)
Practice and Problem-Solving Exercises 44 (Page 724)
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arrow_right Standardized Test Prep p.724
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Standardized Test Prep 47 (Page 724)
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arrow_right Mixed Review p.724
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Mixed Review 52 (Page 724)
Mixed Review 53 (Page 724)