Find the leg of a right-angled triangle if it is 2 times less than the hypothesis, and the second leg is 6 meters.

1. A, B, C – the vertices of the triangle. Angle A is straight. AC = 6 meters. The hypotenuse of the BC is 2 times larger than the AB leg.

2. The AB leg is denoted by the symbol “a”. Hypotenuse BC = 2a.

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

(2a) ² – a² = 6²;

4а² – а² = 36;

3а² = 36;

a² = 12;

a = √12 = 2√3.

The length of the leg AB = 2√3 meters.