document.write( "Question 1078202: One leg of a right triangle is 4 millimeters longer than the smaller leg and the hypotenuse is 8 millimeters longer than the smaller leg. FIND the lengths of the sides of the triangle. Break the steps down step by step thank you! \n" ); document.write( "

Algebra.Com's Answer #692714 by Fombitz(32388) $\"\"$ $\"About$

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Use the Pythagorean theorem,
\n" ); document.write( " $\"A%5E2%2BB%5E2=C%5E2\"$
\n" ); document.write( " $\"x%5E2%2B%28x%2B4%29%5E2=%28x%2B8%29%5E2\"$
\n" ); document.write( " $\"x%5E2%2Bx%5E2%2B8x%2B16=x%5E2%2B16x%2B64\"$
\n" ); document.write( " $\"2x%5E2%2B8x%2B16=x%5E2%2B16x%2B64\"$
\n" ); document.write( " $\"x%5E2-8x-48=0\"$
\n" ); document.write( " $\"%28x-12%29%28x%2B4%29=0\"$
\n" ); document.write( "Only positive solutions make sense here,
\n" ); document.write( " $\"x-12=0\"$
\n" ); document.write( " $\"x=12\"$
\n" ); document.write( "So the sides of the triangle are 12, 16, and 20mm.
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