Question

find n.
write your answer in simplest radical form.
feet

Explanation:

Step1: Identify the triangle type

This is a 45 - 45 - 90 right triangle. In a 45 - 45 - 90 triangle, the legs are equal. Let the legs be \(a\) and \(a\), and the hypotenuse be \(c=a\sqrt{2}\). Here, one leg is \(5\) ft.

Step2: Use the property of 45 - 45 - 90 triangle

Since in a 45 - 45 - 90 triangle, the two legs are congruent. If one leg is \(5\) ft, and \(n\) is the other leg.

Answer:

\(5\)