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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^2

In 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

b= 180, c= 300

a^2+ 180^2= 300^2

▼

Solve for a

Calculate power

a^2+32 400=90 000

LHS-32 400=RHS-32 400

a^2=90 000-32 400

Subtract terms

a^2=57 600

sqrt(LHS)=sqrt(RHS)

a=sqrt(57 600)

Calculate root

a=240

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

Subchapter links

Lesson Check p.721

Practice and Problem-Solving Exercises p.721-724

Standardized Test Prep p.724

Mixed Review p.724