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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 52 Page 724

Use the Pythagorean Theorem.

37cm

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 a=35cm and b=12cm.

Let's substitute these values into the formula.

a^2+b^2=c^2

a= 35, b= 12

35^2+ 12^2=c^2

▼

Solve for c

Calculate power

1225+144=c^2

Add terms

1369=c^2

sqrt(LHS)=sqrt(RHS)

sqrt(1369)=c

Rearrange equation

c=sqrt(1369)

Calculate root

c=37

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