Question

find c. 8 ft 45° 45° c write your answer in simplest radical form. feet submit

Explanation:

Step1: Identify the triangle type

This is a \(45 - 45-90\) right - triangle. In a \(45 - 45-90\) triangle, the legs are equal, and the hypotenuse \(c\) is related to the leg \(a\) (or \(b\)) by the formula \(c = a\sqrt{2}\) (where \(a = b\)). Here, one of the legs \(a=8\) ft.

Step2: Apply the \(45 - 45-90\) triangle formula

Using the formula \(c = a\sqrt{2}\), substitute \(a = 8\) into the formula. So \(c=8\sqrt{2}\) ft.

Answer:

\(8\sqrt{2}\)