One of the legs of a right-angled triangle is 8 cm, which is equal to the other leg if it is 3 times less than the hypotenuse.

1. Vertices of the triangle – А, В, С. А = 90 °. AB = 8 centimeters.

2. Take the length of the AC leg as x. The length of the BC hypotenuse is 3x.

3. Let’s compose the equation using the formula of the Pythagorean theorem:

9x² = х² + 64;

8x² = 64;

x² = 8;

x = 4√2 centimeters.

AC = 4√2 centimeters.

Answer: the AC leg is 4√2 centimeters.