Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - Mid-Chapter Quiz: 14

Answer

No, it is not.

Work Step by Step

The Pythagorean Theorem states that for any right triangle, $a^{2} + b^{2} =c^{2},$ where c is the length of the hypotenuse and a and b are the length of the other two sides. Given that the numbers are natural numbers, we plug them into the Pythagorean Theorem to see if they are a Pythagorean Triple. (Note, the longest side is the hypotenuse.) $$1^{2} + 2^2 =3 ^{2} \\ 1+4=9 \\ 5=9$$ This is not true, so it is not a Pythagorean Triple.
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