The area of a right-angled triangle = 64cm squared. Find its legs if one of them is 2 times larger than the other.

1. Let’s designate the first leg of a right-angled triangle through x cm.
2. Define the second leg of a right-angled triangle:
2 * x = 2x cm.
3. Using the formula for finding the area of a right-angled triangle S = (a * b) / 2, compose and solve the equation:
(2x * x) / 2 = 64;
2x ^ 2 = 64 * 2;
2x ^ 2 = 128;
x = 128: 2;
x = 64.
4. The first leg of a right-angled triangle is x = 6 (cm).
5. What is the second leg of a right-angled triangle?
2 * x = 2 * 6 = 12 (cm)
Answer: the legs of a right-angled triangle are 6 cm and 12 cm.