document.write( "Question 140230: I have a problem that I wanted to check to see if I've figured out the right answer. The hypotenuse of a right triangle is 4 inches long. one leg is 1 inch longer than the other. Find the length of the shorter leg to the nearest tenth.
\n" ); document.write( "I have 2.3 is this right. Want to make sure I'm understanding the problem correctly. Thank you. \n" ); document.write( "
Algebra.Com's Answer #102142 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
4^2=x^2+(x+1)^2
\n" ); document.write( "16=x^2+x^2+2x+1
\n" ); document.write( "2x^2+2x+1-16=0
\n" ); document.write( "2x^2+2x-15=0
\n" ); document.write( "Using the quadratic equation:\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"we get:
\n" ); document.write( "x=(-2+-sqrt[-2^2-4*2*-15])/2*2
\n" ); document.write( "x=(-2+-sqrt[4+120])/4
\n" ); document.write( "x=(-2+-sqrt124)/4
\n" ); document.write( "x=(-2+-11.1355)/4
\n" ); document.write( "x=(-2+11.1355)/4
\n" ); document.write( "x=9.1355)/4
\n" ); document.write( "x=2.28 for the shorter leg.
\n" ); document.write( "2.28+1=3.28 for the longer leg.
\n" ); document.write( "proof
\n" ); document.write( "16=2.28^2+3.28^2
\n" ); document.write( "16=5.2+10.8
\n" ); document.write( "16=16
\n" ); document.write( " \n" ); document.write( "
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