(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. 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)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Want to check the answer to this (Pythagoras)

**Physics Forums | Science Articles, Homework Help, Discussion**