22
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (e) is equal to the sum of the squares of the lengths of the other two sides (a and b):
e^2 = a^2 + b^2
In this case, a = 10 feet and b = 20 feet, so we can substitute these values into the formula:
e^2 = 10^2 + 20^2
e^2 = 100 + 400
e^2 = 500
To find e, we take the square root of both sides:
e = sqrt(500) ≈ 22.36
Rounding to the nearest whole number, the length of the triangle is 22 feet.