The hypotenuse of a right-angled triangle is 17 cm, and the perimeter of the triangle is 40. Find the legs of a right-angled triangle.

Since in a right-angled triangle the legs are equal and we are given the hypotenuse and the perimeter, we can find the length of the leg, imagining that the leg is equal to x, then the sum of the two legs, that is, two x and the hypotenuse, should be equal to the perimeter.
We have: 17 + 2x = 40.
We find the X.
X = 11.5 – leg length.
Answer: The legs of the triangle are 11.5 cm.