Geometry:
Can someone give me an example of a find the distance between R(?, ?) and Q(?, ?) and show all the work? With the Finding Distance formula(In picture).

Question

Geometry:
Can someone give me an example of a find the distance between R(?, ?) and Q(?, ?) and show all the work? With the Finding Distance formula(In picture).

nicole143 · Answer

|dw:1348361614049:dw|

campbell_st · Answer

ok... this is an application of pythagoras' theorem 

|dw:1348361450693:dw|

the vertical height of the triangle is the difference between the y values

which is $$(y_{2} - y_{1}) $$

the horizontal distance is the difference in the x values

which is 

$$(x_{2} - x_{1})$$

so QR is the hypotenuse or a right triangle with sides

$$(x_{2} - x_{1}) ..... and ...... (y_{2} - y_{1}) $$

it is just a case of applying pythagoras' theorem to these lengths to find the hypotenuse.