The length of the base in the right triangle is 2√11 feet, calculated using the Pythagorean theorem. Therefore, a= √44.
We can use the Pythagorean theorem to solve for the length of the base. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we can write the equation as:
(12)^2 = a^2 + 10^2
where a is the length of the base.
Solving for a, we get:
a = √(12^2 - 10^2)
a = √(144 - 100)
a = √44
a = 2√11
Therefore, the length of the base is 2√11 feet.