document.write( "Question 494477: The Pythagorean Theorem for right triangles states that if a and b are the
\n" ); document.write( "lengths of the legs of a right triangle and c is the length of the hypotenuse,
\n" ); document.write( "then a^2 + b^2= c^2.\r
\n" ); document.write( "\n" ); document.write( "Prove that if m is a real number and m, m +1, and m+ 2 are the lengths of
\n" ); document.write( "the three sides of a right triangle, then m = 3.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #335663 by Alan3354(69443) $\"\"$ $\"About$

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$\"%28m%2B2%29%5E2+=+m%5E2+%2B+%28m%2B1%29%5E2\"$
\n" ); document.write( " $\"m%5E2%2B4m%2B4+=+m%5E2+%2B+m%5E2%2B2m%2B1\"$
\n" ); document.write( " $\"4m%2B4+=+m%5E2+%2B+2m+%2B+1\"$
\n" ); document.write( " $\"m%5E2+-+2m+-+3+=+0\"$
\n" ); document.write( "(m-3)*(m+1) = 0
\n" ); document.write( "m = -1 Ignore
\n" ); document.write( "m = 3
\n" ); document.write( "--> The 3, 4, 5 right triangle \n" ); document.write( "

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