Question

find the distance between [2,3] and [4,1]

Answer 1

by using the distance formula

Answer 2

Answer:

$\huge{\pink{\green{\sf{AB=2\sqrt{2}Units}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: { \orange{ \underline{given}}} \\ { \green{ coordinate \: of \: A = (2,3)}} \\ { \green{coordinate \: of \: point \: B= (4,1)}} \\ \\ { \red{ \underline{to \: find :}}} \\ { \purple{distance \: AB =? }}$

▪As according to given question:

▪We have information such that we know the coordinate of two points and we know the formula to find distance between two coordinate points.

• So putting values on distance formula we get the distance between two coordinate points.

$\to AB= \sqrt{( x_{2} - x_{1}) ^{2} + ( y_{2} - y_{1})^{2} } \\ \to AB = \sqrt{(4 - 2)^{2} + {(1 - 3)}^{2} } \\ \to AB = \sqrt{ {(2)}^{2} + { (- 2)}^{2} } \\ \to AB = \sqrt{4 + 4} \\ \to AB = \sqrt{8} \\ { \green{\therefore AB = 2\sqrt{2} \: units}}$

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