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 lengths of 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 substitute this value into the formula:

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

To simplify \(\frac{4}{\sqrt{2}}\), we can multiply the numerator and the denominator by \(\sqrt{2}\):

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

So, the length of each leg in the triangle is \(2\sqrt{2}\) cm.

The correct response is:
**2√2 cm**