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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 3 Page 514

Use the Pythagorean Theorem.

sqrt(433)

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=17, b=12, and c=y.

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

a^2+b^2=c^2

SubstituteValues

Substitute values

17^2+ 12^2= y^2

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Solve for y

Calculate power

289+144=y^2

Add terms

433=y^2

sqrt(LHS)=sqrt(RHS)

sqrt(433)=y

Rearrange equation

y=sqrt(433)

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