## MYP Mathematics, Distance between two points

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

### MYP Mathematics, Distance between two points

MYP Maths, Coordinate geometry, Distance between two points

How can we find the parameter c if these A(1,c) and B(-3,4) are 5 units apart?

Thanks
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm

### Re: MYP Mathematics, 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

$d_{AB}= \sqrt{( -3- 1)^2+( 4- c)^2}=\sqrt{16+( 4- c)^2}=5 =>$

$=>( \sqrt{16+( 4- c)^2})^2=5^2 =>$ (by squaring both sides)

$=>(16+(4- c)^2) =25 => (4- c)^2 = 9=> (4- c) =\pm 3 =>$

$c=1 \or\ c=7$

Hope these help!
miranda

Posts: 268
Joined: Mon Jan 28, 2013 8:03 pm

### Re: MYP Mathematics, Distance between two points

thanks miranda!!
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm

### Re: MYP Mathematics, Distance between two points

thanks miranda!!
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm

### Re: MYP Mathematics, Distance between two points

thanks miranda!!
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm

### Re: MYP Mathematics, Distance between two points

thanks miranda!!
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm

### Re: MYP Mathematics, Distance between two points

thanks miranda!!
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm

### Re: MYP Mathematics, Distance between two points

thanks miranda!!
Lucas

Posts: 0
Joined: Mon Jan 28, 2013 8:05 pm