(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)

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# Want to check the answer to this (Pythagoras)

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