Final answer:
To find the sum of the length of line segments EF and CD using the Pythagorean Theorem, you need to first find the lengths of both segments and then add them together. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
To find the sum of the length of line segments EF and CD using the Pythagorean Theorem, we need to first find the lengths of both segments and then add them together. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's assume that EF and CD are the legs of a right triangle, and the hypotenuse is the sum of their lengths. Let's say EF has a length of a units and CD has a length of b units. Applying the Pythagorean Theorem, we have:
a^2 + b^2 = c^2
where c is the length of the hypotenuse, which is the sum of EF and CD. Rearranging the equation, we have:
c = sqrt(a^2 + b^2)
Therefore, to find the sum of EF and CD, we can calculate the square roots of the sums of their squares.