document.write( "Question 175673: A right triangle in the first quadrant is bounded by lines y = 0, y = x, and y = -x+5. Find its area \n" ); document.write( "
Algebra.Com's Answer #130788 by Mathtut(3670)\"\" \"About 
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(5/2,5/2) is where y=x and y=-x+5 meet
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\n" ); document.write( "we know that the hypothenuse is 5 units
\n" ); document.write( "we also know that the 2 legs are equal. lets call each leg x
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\n" ); document.write( "so \"x%5E2%2Bx%5E2=5%5E2\"
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\n" ); document.write( "\"2x%5E2=25\"
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\n" ); document.write( "\"x%5E2=25%2F2\"
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\n" ); document.write( "\"x=sqrt%2825%2F2%29\"
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\n" ); document.write( "\"x=5%2Fsqrt%282%29\"
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\n" ); document.write( "A=1/2bh
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\n" ); document.write( "we know the base and height are the length of the legs
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\n" ); document.write( "\"A=%281%2F2%29%285%2Fsqrt%282%29%29%285%2Fsqrt%282%29%29\"
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\n" ); document.write( "\"A=%281%2F2%29%2825%2F2%29=25%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C+0%2C++x%2C++-x%2B5%29\"
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