Question

what is the length of \overline{ac}? 3 ft 4 ft 18 ft 12 ft

Explanation:

Step1: Use the mid - segment theorem

The mid - segment theorem states that the length of the mid - segment (\(MN\)) of a triangle is half the length of the third side (\(AC\)).
Let \(MN = 6\ ft\).

Step2: Calculate the length of \(AC\)

By the mid - segment theorem, \(MN=\frac{1}{2}AC\).
We can solve for \(AC\) by multiplying both sides of the equation by \(2\).
So, \(AC = 2\times MN\).
Substitute \(MN = 6\ ft\) into the equation: \(AC=2\times6 = 12\ ft\).

Answer:

D. \(12\ ft\)