Leg XY of a right triangle is twice as long as leg YZ If the area of the triangle is 36cm squared what ist he length in cm of leg XY?

Let's denote the length of leg YZ as x. Since leg XY is twice as long as leg YZ, its length would be 2x. The formula for the area of a right triangle is A = 1/2 * base * height. In this case, the base is YZ (x) and the height is XY (2x). Given that the area is 36 cm², we can set up the equation 1/2 * x * 2x = 36. Solving for x, we get x = 6. Therefore, the length of leg XY (2x) is 2 * 6 = 12 cm.