Question

question solve for w.

Explanation:

Step1: Identify triangle type

This is a 45 - 45-90 right - triangle. In a 45 - 45-90 triangle, the legs are of equal length and the hypotenuse $w$ is related to the leg length $a$ by the formula $w = a\sqrt{2}$. Here, $a = 12$.

Step2: Apply the formula

Using the formula $w=a\sqrt{2}$, substitute $a = 12$ into it. So $w=12\sqrt{2}$.

Answer:

$12\sqrt{2}$