Question

Find the distance between (2,3),(4,1)?

Answer 1

Answer :

2√2

Explanation :

Look At the tagged Image Above

Answer 2

$\huge{ \underline{ＡＮＳＷＥＲ}}$

Distance b/w two points is given by

$\bold{ \sqrt{({x}_{1}-{x}_{2})² +({y}_{1}-{y}_{2})²}}$

Therefore , the distance b/w (2,3) & (4,1) is given by

$l = \sqrt {(2-4)²+(3-1)²} \\\\\ = \sqrt {(-2)²+(2)²} \\\\\ = \sqrt {4+4} = \sqrt {8} = \bold {2\sqrt{2}}$