document.write( "Question 54376: In a right triangle, one leg is twice the other leg, and the area is 9. How long is the hypotenuse? \n" ); document.write( "
Algebra.Com's Answer #36729 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! In a right triangle, one leg is twice the other leg, and the area is 9. How long is the hypotenuse?\r \n" ); document.write( "\n" ); document.write( "Let x = one side, the other side = 2x \n" ); document.write( ": \n" ); document.write( "Area of a triangle = (1/2)*b*h; in a right triangle, the base and the height \n" ); document.write( "are the same as the sides: \n" ); document.write( ": \n" ); document.write( "(1/2)*x*2x = 9 \n" ); document.write( "(1/2)*2x^2 = 9 \n" ); document.write( " x^2 = 9 \n" ); document.write( " x = 3 \n" ); document.write( ": \n" ); document.write( "hypotenuse = SqRt(3^2 + 6^2) ~ 6.71\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |