Use the relationships in 45-45-90 triangles to solve the following problem. If the hypotenuse of a triangle is 4 cm, what is the length of the leg?(1 point)

In a 45-45-90 triangle, the lengths of the legs are equal, and the relationship between the legs and the hypotenuse is given by the formula:

\[
\text{Leg} = \frac{\text{Hypotenuse}}{\sqrt{2}}
\]

Given that the hypotenuse is 4 cm, we can find the length of the leg as follows:

\[
\text{Leg} = \frac{4}{\sqrt{2}} = 4 \cdot \frac{\sqrt{2}}{2} = 2\sqrt{2} \text{ cm}
\]

Therefore, the length of the leg is \(2\sqrt{2}\) cm.

The correct response is:

**2√2 cm**