Question

If B is the midpoint of AC, and AB=5/2x+12 and AC=12x-4, what is the length of BC?

Answer 1

22

Explanation:

We know that AC = 2 * AB so we can write:

12x - 4 = 2(5/2 x + 12)

12x - 4 = 5x + 24

7x = 28

x = 4

Since AB = BC the answer is 5/2 * 4 + 12 = 22.