Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 6 Page 514

3sqrt(11)

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=15, b=x, and c=18.

Let's substitute these values into the formula and solve for x.
a^2+b^2=c^2
15^2+ x^2= 18^2
â–Ľ
Solve for x
225+x^2=324
x^2=99
x=sqrt(99)
x=sqrt(9* 11)
x=sqrt(9)* sqrt(11)
x=3sqrt(11)
Since a negative side length does not make sense, we only need to consider positive solutions.