document.write( "Question 554074: How do you figure out if a triangle is a right triangle using only the lengths of each side. \n" ); document.write( "

Algebra.Com's Answer #361209 by josmiceli(19441) $\"\"$ $\"About$

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Suppose the sides are $\"a\"$ , $\"b\"$ , and $\"c\"$
\n" ); document.write( "and suppose $\"c\"$ is the longest side. Then, if
\n" ); document.write( "this is a right triangle, it will always be true
\n" ); document.write( "that $\"+a%5E2+%2B+b%5E2+=+c%5E2+\"$
\n" ); document.write( "This is true in the case where
\n" ); document.write( " $\"+a+=+3+\"$
\n" ); document.write( " $\"+b+=+4+\"$
\n" ); document.write( " $\"+c+=+5+\"$
\n" ); document.write( " $\"+3%5E2+%2B+4%5E2++=+5%5E2+\"$
\n" ); document.write( " $\"+9+%2B+16+=+25+\"$
\n" ); document.write( " $\"+25+=+25+\"$
\n" ); document.write( "------------
\n" ); document.write( "Likewise, if $\"+a%5E2+%2B+b%5E2+=+c%5E2+\"$ is NOT
\n" ); document.write( "true, then it's not a right triangle. \n" ); document.write( "

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