document.write( "Question 940723: The sides of a triangle habe lengths of x, x+5, and 25. If the longest side is 25, which of the following of x would make the triangle right? \n" ); document.write( "

Algebra.Com's Answer #573347 by Fombitz(32388) $\"\"$ $\"About$

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If it's a right triangle, it follows the Pythagorean theorem,
\n" ); document.write( " $\"x%5E2%2B%28x%2B5%29%5E2=25%5E2\"$
\n" ); document.write( " $\"x%5E2%2Bx%5E2%2B10x%2B25=625\"$
\n" ); document.write( " $\"2x%5E2%2B10x-600=0\"$
\n" ); document.write( " $\"x%5E2%2B5x-300=0\"$
\n" ); document.write( " $\"%28x%2B20%29%28x-15%29=0\"$
\n" ); document.write( "Only the positive value makes sense here,
\n" ); document.write( " $\"x-15=0\"$
\n" ); document.write( " $\"x=15\"$
\n" ); document.write( " \n" ); document.write( "

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