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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

7. Areas and Volumes of Similar Solids

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Exercise 52 Page 749

Use the Pythagorean Theorem.

20

Practice makes perfect

To find the missing side of the triangle, we will use the Pythagorean Theorem.

In the formula, a and b are the legs and c is the hypotenuse of a right triangle. Let's consider the given triangle.

We have a= 16 and b= 12. Let's substitute these values into the formula and solve the resulting equation for x.

a^2+b^2=c^2

SubstituteValues

Substitute values

16^2+ 12^2= x^2

▼

Solve for x

Calculate power

256+144=x^2

Add terms

400=x^2

sqrt(LHS)=sqrt(RHS)

sqrt(400)=x

Rearrange equation

x=sqrt(400)

Calculate root

x=20

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

Subchapter links

Lesson Check p.745

Practice and Problem-Solving Exercises p.746-749

Standardized Test Prep p.749

Mixed Review p.749