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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 7 Page 535

Use the Pythagorean Theorem.

9sqrt(3)

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=9, b=x, and c=18.

Let's substitute these values into the formula and solve for x.

a^2+b^2=c^2

SubstituteValues

Substitute values

9^2+ x^2= 18^2

▼

Solve for x

Calculate power

81+x^2=324

LHS-81=RHS-81

x^2=243

sqrt(LHS)=sqrt(RHS)

x=sqrt(243)

SplitIntoFactors

Split into factors

x=sqrt(81* 3)

sqrt(a* b)=sqrt(a)*sqrt(b)

x=sqrt(81)* sqrt(3)

Calculate root

x=9sqrt(3)

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