Answer:
The distance formula is:
Step-by-step explanation:
Given:
Two points on a coordinate plane are given as:
Now, let the points be and let 'd' be the distance between the two points.
Now, join the points A and B to make a line segment AB.
Also, draw a right angled triangle ABC right angled at point C. Point C is is the intersection of horizontal and vertical lines drawn from points A and B respectively as shown in the figure below.
From the triangle ABC, we observe that:
AB =
AC =
BC =
Now, we use Pythagoras theorem to find 'd'. This gives,
Now, taking square root on both sides, we get:
Ignoring the negative result as distance can never be negative.
Therefore, the formula to find distance in coordinate geometry, given coordinates is:
