Question

Find the distance between each of the following pair of point. A(2,3)and B(4,1)​

Answer 1

$\huge{ \bigstar}\huge{\mathbf{ \overbrace{ \underbrace{ \pink{ \fbox{ \green{ \blue{A} \pink{n} \red{s} \green{w} \purple{e} \blue{r}}}}}}}} \huge{ \bigstar}$

$\bf{ \large{ \underline{ \red{Given}}}}: -$

The points are A(2,3) and B(4,1).

$\bf{ \large{ \underline{ \blue{To \: find}}}}: -$

The distance between the two points.

$\bf{ \large{ \underline{ \orange{Solution}}}}: -$

So, the distance between A and B is —

$= \bf{ \sqrt{ {( x_{2} - x_{1}) }^{2} + {( y_{2} - y_{1} )}^{2} } \: unit} \\ = \bf{ \sqrt{ {(2 - 4)}^{2} + {(3 - 1)}^{2} } \: unit} \\ = \bf{ \sqrt{ {( - 2)}^{2} + {2}^{2} } \: unit} \\ = \bf{ \sqrt{4 + 4} \: unit} \\ = \bf{ \sqrt{8} \:unit} \\ = \bf{2 \sqrt{2} \:unit}$

Answer 2

Step-by-step explanation:

Solution is given in above pic

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