document.write( "Question 919364: The hypotenuse of a right triangle is twice as long as one leg and 20 cm longer than the other leg. The perimeter is 240 cm. What is the area of the triangle? \n" ); document.write( "
Algebra.Com's Answer #557670 by ewatrrr(24785)![]() ![]() You can put this solution on YOUR website! x the length of the hypotenuse \n" ); document.write( "x + x/2 + (x-20) = 240 |Multiplying thru by 2 so as all denominators = 1 \n" ); document.write( "2x + x + 2(x-20) = 480 \n" ); document.write( "5x = 520 \n" ); document.write( "x = 104, length of the hypotenuse. Legs: 52 and 84 \n" ); document.write( "And... 104 + 52 + 84 = 240 \n" ); document.write( "A = (1/2)52•84 = 2184 cm^2 \n" ); document.write( " \n" ); document.write( " |