document.write( "Question 195769: Find the length of the hypotenuse of a right angled triangle with one leg 7 cm longer than the other and the hypotenuse 2 cm longer than the longer leg. So the hypotenuse = x+9, one side = x and the other side = x+7. I'm not sure what to do next though. \n" ); document.write( "
Algebra.Com's Answer #146801 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Let us re-state the following dimensions:\r
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\n" ); document.write( "\n" ); document.write( "One leg (a) = x cm
\n" ); document.write( "Longer leg (b) = x + 7 cm
\n" ); document.write( "Hypotenuse (c) = x + 7 + 2 = x + 9 \r
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\n" ); document.write( "\n" ); document.write( "By Pyth.theorem:
\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
\n" ); document.write( "\"x%5E2%2B%28x%2B7%29%5E2=%28x%2B9%29%5E2\"
\n" ); document.write( "\"x%5E2%2Bx%5E2%2B14x%2B49=x%5E2%2B18x%2B81\"
\n" ); document.write( "\"x%5E2%2Bcross%28x%5E2%29%2B14x%2B49-cross%28x%5E2%29-18x-81=0\"
\n" ); document.write( "\"x%5E2-4x-32=0\"
\n" ); document.write( "\"%28x-8%29%28x%2B4%29=0\"
\n" ); document.write( "\"x=-4\", disregard \"-\"
\n" ); document.write( "\"red%28x=8cm%29\", One leg\r
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\n" ); document.write( "\n" ); document.write( "Longer leg, \"x%2B7=8%2B7=red%2815cm%29\"\r
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\n" ); document.write( "\n" ); document.write( "Hypotenuse: \"x%2B9=8%2B9=red%2817cm%29\"\r
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\n" ); document.write( "\n" ); document.write( "Check,(Pyth.Theorem)
\n" ); document.write( "\"8%5E2%2B15%5E2=17%5E2\"
\n" ); document.write( "\"64%2B225=289\"
\n" ); document.write( "\"289=289\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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