Question

3 multiple choice 1 point given that a leg of a 45 - 45 - 90 triangle has a length of 5 feet, what is the length of the hypotenuse? 2.5 5 \\( \frac { 5 \sqrt { 2 } } { 2 } \\) \\( 5 \sqrt { 2 } \\)

Explanation:

Step1: Recall the property of 45 - 45 - 90 triangle

In a 45 - 45 - 90 triangle, if the length of a leg is \(a\), the length of the hypotenuse \(c\) is given by \(c = a\sqrt{2}\).

Step2: Substitute the value of \(a\)

Here, \(a = 5\) feet. Substituting into the formula \(c=a\sqrt{2}\), we get \(c = 5\sqrt{2}\) feet.

Answer:

\(5\sqrt{2}\) (the fourth option)