# SOLUTION: Prove that if a,b, and c are a pythagorean triple, then ka, kb, and kc (where k>0) represent the side lengths of a right triangle.

Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: Prove that if a,b, and c are a pythagorean triple, then ka, kb, and kc (where k>0) represent the side lengths of a right triangle.       Log On

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 Geometry: Pythagorean theorem Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Pythagorean-theorem Question 259997: Prove that if a,b, and c are a pythagorean triple, then ka, kb, and kc (where k>0) represent the side lengths of a right triangle. Answer by Edwin McCravy(8906)   (Show Source): You can put this solution on YOUR website!Prove that if a,b, and c are a pythagorean triple, then ka, kb, and kc (where k>0) represent the side lengths of a right triangle. ``` Since a,b and c are a Pythagorean triple, Multiply both sides by by That can be written as which proves that ka, kb, and kc also satisfy the Pythagorean theorem equation and therefore can be side lengths of a right triangle. Edwin```