document.write( "Question 123863: A right triangle has a height 8cm more than twice the base. If the area of the triangle is 96cm^2, what are the dimensions of the triangle? \n" ); document.write( "
Algebra.Com's Answer #90879 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "Discussion
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\n" ); document.write( "We need to use the formula for the area of a triangle \"A=%28bh%29%2F2\", and the
\n" ); document.write( "fact that the base and the height can be described one in terms of the other.
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\n" ); document.write( "Solution
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\n" ); document.write( "Let the short leg be x, and then the longer leg would be 2x + 8.\r
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\n" ); document.write( "\n" ); document.write( "We are given that the area of the triangle is \"96cm%5E2\", so \r
\n" ); document.write( "\n" ); document.write( "\"%28x%282x%2B8%29%29%2F2=96\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2%2B8x=192\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2%2B8x-192=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x-96=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B12%29%28x-8%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=-12\" or \"x=8\"\r
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\n" ); document.write( "\n" ); document.write( "Since a triangle leg with a negative length measure doesn't make much sense,
\n" ); document.write( "exclude the negative value. The short leg measures 8, therefore the long leg
\n" ); document.write( "measures \"2%288%29%2B8=24\"
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\n" ); document.write( "Check Answer
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\n" ); document.write( "\"%2824%2A8%29%2F2=96\". Answer checks.
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