## MYP Math Distance between two points

number, algebra, geometry and trigonometry, statistics and probability, discrete mathematics.

### MYP Math Distance between two points

MYP Math, Coordinate geometry, Distance between two points

How can we find the parameter p if these A(-2,p) and B(3,-4) are 5 units apart?

Thanks
Nyla

Posts: 0
Joined: Mon Jan 28, 2013 8:11 pm

### Re: MYP Math Distance between two points

MYP Math, Distance between two points, Distance Formula

The distance between two points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ is given by the following formula:

$d_{AB}= \sqrt{( x_{2}- x_{1})^2+( y_{2}- y_{1})^2}$

Applying the above formula in our case we have

$d_{AB}= \sqrt{(3-(-2))^2+(-4-p)^2}=\sqrt{25+(4+p)^2}=5 =>$

$\rightarrow ( \sqrt{25+(4+p)^2})^2=5^2 =>$ (by squaring both sides)

$\rightarrow (25+(4+p)^2) =25 => (4+p)^2 =0=>4+p =0 \rightarrow p=-4$

Hope these help!
Jack

Posts: 0
Joined: Mon Jan 28, 2013 8:08 pm

### Re: MYP Math Distance between two points

Thank you Jack!!
Nyla

Posts: 0
Joined: Mon Jan 28, 2013 8:11 pm

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