Question

Find distance between following pairs (6,4) (2,3)​

Answer 1

$\huge\tt\underline\red{Ans}\underline {w}\underline\purple{er}\underline{:}\orange {\sqrt{17}}$

$\huge \underbrace \mathfrak \red{\bigstar Explanation}$

We know that ,

Distance formula = $\sqrt{(x_2 - x_1 )² + (y_2 - y_1 )²}$

Now,

${ \bold { \underline{\large{\blue{Solution :}}}}} \:$

$\tt Let,\: x_1 = 6\: ,\:\:\:\:\: x_2 = 2 \\ \tt And, y_1 =4 \: ,\:\:\:\:\: y_2 = 3$

$\sf \therefore The \: distance \: between \: pairs \: = \sqrt{(x_2 - x_1 )² + (y_2 - y_1 )²}$

$\mathfrak {\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= \sqrt{(2 - 6)² + (3 - 4 )²}}$

$\mathfrak {\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= \sqrt{(-4)² + (-1 )²}}$

$\mathfrak{ \: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= \sqrt{16 + 1}}$

$\mathfrak {\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= \sqrt{ 17 }\:\:\:\: Ans}$

plz brainlist ‼️