Bobbie180 Bobbie180
  • 08-08-2015
  • Mathematics
contestada

Triangle ABC has side lengths 8, 15, and 17. Do the side lengths from a Pythagorean triple? Yes or no?

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JaySL JaySL
  • 08-08-2015
Use the Pythagorean Theorem, substituting 8, 15, and 17 for a, b, and c respectively.  Then, simplify to determine whether the equation is true.

[tex]8^2+15^2=17^2[/tex]

[tex]64+225=289[/tex]

[tex]289=289[/tex]

As any number is clearly equal to itself, this statement is true, so 8, 15, and 17 is a valid Pythagorean Triple.
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gubanyv gubanyv
  • 17-06-2018
yes, they form a Pythagorean triple.
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