Question

c is the midpoint of $overline{ad}$. b is the midpoint of $overline{ac}$. ac = 14. what is the length of $overline{bd}$?

Explanation:

Step1: Find the length of AB

Since B is the mid - point of AC and AC = 14, then AB=\frac{1}{2}AC. So AB=\frac{1}{2}\times14 = 7.

Step2: Find the length of AD

Since C is the mid - point of AD and AC = 14, then AD = 2AC. So AD=2\times14 = 28.

Step3: Find the length of BD

BD=AD - AB. Substitute AD = 28 and AB = 7 into the formula, we get BD=28 - 7=21.

Answer:

21