The distance formula is used to find the distance between two points and the Pythagoras theorem is used to find the missing length in a right-angled triangle.
What is Pythagoras's Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y)
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The distance formula is a formalization of the Pythagorean Theorem using (x,y).
The distance formula is used to find the distance between two points and the Pythagoras theorem is used to find the missing length in a right-angled triangle.
So, they are the same thing in two different contexts.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
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