document.write( "Question 940066: In a right angle triangle, hypotenuse is 4cm more than the smallest side and 2cm less than the third side.Find its perimeter \n" ); document.write( "

Algebra.Com's Answer #572985 by Fombitz(32388) $\"\"$ $\"About$

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From Pythagorean theorem,
\n" ); document.write( " $\"H%5E2=%28H-2%29%5E2%2B%28H-4%29%5E2\"$
\n" ); document.write( " $\"H%5E2=H%5E2-4H%2B4%2BH%5E2-8H%2B16\"$
\n" ); document.write( " $\"H%5E2=2H%5E2-12H%2B24\"$
\n" ); document.write( " $\"H%5E2-12H%2B20=0\"$
\n" ); document.write( " $\"%28H-2%29%28H-10%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"H-2=0\"$
\n" ); document.write( " $\"H=2\"$
\n" ); document.write( "However subtracting 2 and 4 from this value would lead to zero length and negative length sides.
\n" ); document.write( " $\"H-10=0\"$
\n" ); document.write( " $\"H=10\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"P=H%2BH-2%2BH-4\"$
\n" ); document.write( " $\"P=3H-6\"$
\n" ); document.write( " $\"P=3%2810%29-6\"$
\n" ); document.write( " $\"P=30-6\"$
\n" ); document.write( " $\"P=24\"$ $\"cm\"$
\n" ); document.write( " \n" ); document.write( "

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