If the ratio of the length of the two right sides of a right triangle is 2:1 and the length of the hypotenuse is 10cm, then the area of the right triangle is______ .

If the ratio of the length of the two right sides of a right triangle is 2:1 and the length of the hypotenuse is 10cm, then the area of the right triangle is______ .

Let two right angled sides be 2a and a respectively, the length of ∵ hypotenuse be 10cm, and the sum of squares of ∵ two right angled sides be (2a) 2 + A2 = 102. The solution is A2 = 20, so the area of this right angled triangle is s = 2A · a △ 2 = 20cm2