Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
6. Use the Pythagorean Theorem
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Exercise 21 Page 430

B

Practice makes perfect

To find the missing side length of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with a=12in. and b=5 inches.

Let's substitute these values into the formula.

a^2+b^2=c^2
12^2+ 5^2=c^2
â–¼
Solve for c
144+25=c^2
169=c^2
sqrt(169)=sqrt(c^2)

sqrt(a^2)=± a

± sqrt(169)=c
c=± sqrt(169)
c=± 13

Since a negative side length does not make sense, we only need to consider positive solutions. Therefore, c=13 inches. This corresponds to option B.