# geometry question

posted by
**Jim**
.

Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint

No. I answered the same question last week.

The total length of 10 would have to be equal to 7x + 5. That means

7x = 5

x = 5/7

You have an additional requirement that

2x + 5 = 5x, since B is the midpoint.

This requires

3x = 5; x = 5/3

These two requirements cannot both be satisfied.