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Math Help - AS Geometry query

  1. #1
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    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?
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  2. #2
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    Re: AS Geometry query

    Quote Originally Posted by FH88 View Post
    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
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  3. #3
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    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)
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  4. #4
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    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
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