Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Chapter Review
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Exercise 6 Page 535

12sqrt(2)

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=12 and c=x. Notice that, the legs of our triangle are congruent. Therefore, we know that b=a=12.

Let's substitute these values into the formula and solve for x.
a^2+b^2=c^2
12^2+ 12^2= x^2
â–Ľ
Solve for x
144+144=x^2
2* 144=x^2
sqrt(2* 144)=x
x=sqrt(2* 144)
x=sqrt(2)*sqrt(144)
x=sqrt(2)* 12
x=12sqrt(2)
Since a negative side length does not make sense, we only need to consider positive solutions.