# Math Help - AS Geometry query

1. ## AS Geometry query

I'm currently stuck on the following question:

The distance between the two points A(6, 2p) and B(p, -3) is 5√5.
Find the possible values of p.

Is this a simple trial and error solution?

2. ## Re: AS Geometry query

Originally Posted by FH88
I'm currently stuck on the following question:

The distance between the two points A(6, 2p) and B(p, -3) is 5√5.
Find the possible values of p.

Is this a simple trial and error solution?
Hint :

$\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=5 \cdot \sqrt 5$

3. ## Re: AS Geometry query

Difference of x coordinates=6-p
Difference of y coordinates=2p-(-3)=2p+3
Squaring both sides of distance formula we have (6-p)^2+(2p+3)^2=(5root5)^2=125
Remove brackets and solve equation (should get p=+2 or -2)

4. ## Re: AS Geometry query

11^2 + 2^2 = 125.Find by trial (-5.-3) ( 6,-5) p=-5 and (6,8) (8,-3) p=8