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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Chapter Test

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Exercise 1 Page 537

Use the Pythagorean Theorem.

x=sqrt(170)

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=11, b=7, and c=x.

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

a^2+b^2=c^2

SubstituteValues

Substitute values

11^2+ 7^2= x^2

▼

Solve for x

Calculate power

121+49=x^2

Add terms

170=x^2

sqrt(LHS)=sqrt(RHS)

sqrt(170)=x

Rearrange equation

x=sqrt(170)

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