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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |