Question

find the distance of a(3, 5) and b(-2, -3) ​

Answer 1

$\huge\boxed{\underline{\underline{\green{\tt Solution}}}} </p><p>$

Distance between given two points is

$= \sqrt{ {(3 + 2)}^{2} + {(5 + 3)}^{2} }$

$= \sqrt{ {5}^{2} + {8}^{2} }$

$= \sqrt{25 + 64}$

$= \sqrt{89} \: \: \: unit$

$</p><p></p><p>\displaystyle\textcolor{red}{Please \: Mark \: it \: Brainliest}$

Answer 2

Answer:-

Given:-

★a(3,5)

★b(-2,-3)

Formula used:-

$\bf \red{\fbox { \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} \: \: }}}$

Solution:-

$\bf \: x_1 = 3 \\ \bf \: y_ 1 = 5 \\ \bf \: x_2 = - 2 \\ \bf \: y_2 = - 3$

applying the formula:-

$\bf \implies { \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} }}$

$\bf \implies \: \sqrt{ {( - 2 - 3)}^{2} + {( - 3 - 5)}^{2} }$

$\bf \implies \: \sqrt{ {( - 5)}^{2} + {( - 8)}^{2} }$

$\bf \implies \: \sqrt{25 + 64}$

$\bf \implies \: \sqrt{89} \: units$

$\bf{ \underline{ \underline{ \green{distance \: \: \: between \: \: \: a \: \: \: and \: \: \: b \: \: \: \: is \: \: \: \sqrt{89} \: \: \: \: \: units...}}}}$