document.write( "Question 86767: The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.6 units longer than the shorter leg. Find the lengths of the sides of the triangle. \n" ); document.write( "
Algebra.Com's Answer #62792 by checkley75(3666)\"\" \"About 
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2.8^2=X^2+(X+1.6)^2
\n" ); document.write( "7.84=X^2+X^2+3.2X+2.56
\n" ); document.write( "2X^2+3.2X+2.56-7.84=0
\n" ); document.write( "2X^2+3.2X-5.28=0
\n" ); document.write( "2(X^2+1.6X-2.64)=0
\n" ); document.write( "USING THE QUADRATIC EQUATION WE GET
\n" ); document.write( "X=(-1.6+-SQRT[1.6^2-4*1*-2.64])/281
\n" ); document.write( "X=(-1.6+-SQRT[2.56+10.56])/2
\n" ); document.write( "X=(-1.6+-SQRT13.12)/2
\n" ); document.write( "X=(-1.6+-3.622)/2
\n" ); document.write( "X=(-1.6+3.622)/2
\n" ); document.write( "X=2.022/2
\n" ); document.write( "X=1.011 ANSWER.
\n" ); document.write( "X=(-1.6-3.622)/2
\n" ); document.write( "X=-5.244/2
\n" ); document.write( "X=2.611 ANSWER.
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