Question

a 45°-45°-90° triangles hypotenuse measures $3sqrt{2}$ yards. what is the measure of the leg?
write your answer in simplest radical form.
\boxed{} yards

Explanation:

Step1: Recall 45-45-90 triangle rule

In a 45°-45°-90° triangle, hypotenuse $c = s\sqrt{2}$, where $s$ is leg length.

Step2: Solve for leg length $s$

Rearrange formula: $s = \frac{c}{\sqrt{2}}$
Substitute $c = 3\sqrt{2}$:
$s = \frac{3\sqrt{2}}{\sqrt{2}}$

Step3: Simplify the expression

$\sqrt{2}$ cancels out:
$s = 3$

Answer:

3 yards