- #1
zeion
- 466
- 1
Homework Statement
Find the coordinates of the points lying on the y-axis, P(0, y), when the distance between points P and A(5, 4) is 13.
There is a diagram. Point B(0, 4) is also given. You can probably imagine how it looks like.
Homework Equations
The Attempt at a Solution
The hypotenuse is 13.
So,
169 = 25 + (y + 4)^2
In the answer it says (y - 4)^2 which doesn't make sense to me because the length from the origin to P(0, y) is y. y can either be above or below the x-axis but in both cases the length of BP will still be (y + 4).
Please explain to me why length of BP is (y - 4)