Question

In the figure above, AC = 6 and BC = 3. Point P
(not shown) lies on AB between A and B such that
CP is perpendicular to AB. Which of the following could be the length
of CP ?

(A) 2
(B) 4
(C) 5
(D) 7
(E) 8

Answer 1

The figure with the question is

Answer 2

Do you know how the figure looks like after you draw line segment BP?

Answer 3

I think you mean CP? Because CP is perpendicular to AB. The figure then looks like this:

Answer 4

I tried using Pythagorean theorem but there are too many unknowns. Is there any other way to solve it or would we use only Pythagorean theorem?

Answer 5

I would guess B is the right answer

Answer 6

Ok, let's go through each option and see which ones we can eliminate
Could CP be 2?