document.write( "Question 195288This question is from textbook algebra 1 concepts and skills
\n" ); document.write( ": find the unknown length of the right triangle ; base is x; height is x+2 and the hypotenuse is 10 using the pythagorean theorem \n" ); document.write( "
Algebra.Com's Answer #146472 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "Pythagorean Theorem,\"system%28a=base=red%28x%29%2Cb=height=red%28x%2B2%29%2Cc=hypotenuse=red%2810%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
\n" ); document.write( "\"x%5E2%2B%28x%2B2%29%5E2=10%5E2\"
\n" ); document.write( "\"x%5E2%2Bx%5E2%2B4x%2B4-100=0\"
\n" ); document.write( "\"2x%5E2%2B4x-96=0\"\r
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\n" ); document.write( "\n" ); document.write( "*Remember,\"system%28a=2%2Cb=4%2Cc=-96%29\"
\n" ); document.write( "Solving discriminant, \"b%5E2-4ac=4%5E2-4%282%29%28-96%29=16%2B768=784\"\r
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\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( "\"x=%28-4%2B-sqrt%28784%29%29%2F%282%2A2%29=%28-4%2B-28%29%2F4\"
\n" ); document.write( "\"x=%28-4%2B28%29%2F4=24%2F4=red%286%29\", use
\n" ); document.write( "\"x=%28-4-28%29%2F4=-32%2F4=-8\", discard (-)\r
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\n" ); document.write( "\n" ); document.write( "Then,base=6
\n" ); document.write( "Also,height=6+2=8\r
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\n" ); document.write( "\n" ); document.write( "Check, by Pyth theorem:
\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
\n" ); document.write( "\"6%5E2%2B8%5E2=10%5E2\"
\n" ); document.write( "\"36%2B64=100\"
\n" ); document.write( "\"100=100\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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