Recognize that since the side lengths are equal to each other, then the hypotenuse must be equal to 5√2 or about 7.1 feet since the triangle is a 45-45-90 triangle.
<u>Method 2:</u>
By using the Pythagorean Theorem, a^2+b^2=c^2, we have 5^2+5^2=c^2 --> 25+25=c^2 --> 50=c^2 --> 7.1≈c