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Pearson Geometry Common Core, 2011 View details

5. Trigonometry and Area

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Exercise 41 Page 648

Use the Pythagorean Theorem.

17in.

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=15in. and b=8in.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteII

a= 15, b= 8

15^2+ 8^2=c^2

▼

Solve for c

CalcPow

Calculate power

225+64=c^2

AddTerms

Add terms

289=c^2

SqrtEqn

sqrt(LHS)=sqrt(RHS)

sqrt(289)=c

RearrangeEqn

Rearrange equation

c=sqrt(289)

CalcRoot

Calculate root

c=17

Since a negative side length does not make sense, we only need to consider positive solutions. Therefore, the length of the missing side is 17 inches.

Subchapter links

Lesson Check p.646

Practice and Problem-Solving Exercises p.646-648

Standardized Test Prep p.648

Mixed Review p.648

Exercise 41 Page 648

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