Distance between Two points (Two Dimensions)

Distance between Two points (Two Dimensions) :

Let and are two points in a plane,distance between them is .

Now we have to find the distance , draw two perpendiculars on axes from P and Q points, which are PM and QN, now draw a perpendicular PR from point P on QN.

According to the above figure:

OM = ; PM =

ON = ; QN =

So PR = MN = ON – OM =

And QR = QN – RN  = QN – PM =

Now In right triangle PRQ :

PQ =

Or PQ =

Or d =   ….( distance formula)