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Pearson Geometry Common Core, 2011 View details

2. Special Right Triangles

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Exercise 38 Page 505

Use the Pythagorean Theorem.

sqrt(11) in.

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=6in. and 5-in. leg. Let's call this leg a.

Let's substitute these values into the formula.

a^2+b^2=c^2

SubstituteII

a= 5, c= 6

5^2+b^2= 6^2

▼

Solve for b

CalcPow

Calculate power

25+b^2=36

SubEqn

LHS-25=RHS-25

b^2=11

SqrtEqn

sqrt(LHS)=sqrt(RHS)

b=sqrt(11)

We found that the length of the missing leg is sqrt(11)inches. Since a negative side length does not make sense, we only need to consider positive solutions.

Subchapter links

Lesson Check p.503

Practice and Problem-Solving Exercises p.503-505

Standardized Test Prep p.505

Mixed Review p.505

Exercise 38 Page 505

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