The area of a right-angled triangle S (m2) can be calculated by the formula S = a * b / 2, where a and b are the lengths

The area of a right-angled triangle S (m2) can be calculated by the formula S = a * b / 2, where a and b are the lengths of the legs of the triangle (in meters). Using this formula, find the leg length b (in meters), if the area of the triangle is S = 12 m2, the leg length is a = 4 m.

Multiplying the formula for the area of a right-angled triangle by 2, we get:

2 * S = a * b.

Dividing by the length of the leg a:

b = 2 * S / a.

Substituting the values specified in the problem into the resulting formula, we obtain:

b = 2 * 12/4 = 6 m.

Answer: the length of leg b is 6 m.