Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
2. Finding Arc Measures
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Exercise 39 Page 544

The value of x: 15
Do the side lengths form a Pythagorean triple? Yes.

Practice makes perfect
To find the missing side of the triangle, we will use the Pythagorean Theorem.
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= x, b= 8, and c= 17. Let's substitute these values into the formula.
a^2+b^2=c^2
x^2+ 8^2= 17^2
â–Ľ
Solve for x
x^2+64=289
x^2=225
x=sqrt(225)
x=15
Since a negative side length does not make sense, we only need to consider positive solutions. We have that the side lengths of the right triangle are 8, 15, and 17. Since the side lengths are all positive integers, they form a Pythagorean triple.