Question

. Find the distance between the points
(i) (-5, 2) and (7, -3)
​

Answer 1

$\huge\bigstar\sf\red{Answer:}$

$\sf{Distance \ between \ points=\sqrt{(x1-x2)^{2}+(y1+y2)^{2}}}$

$\sf{\therefore{Distance \ between \ points=\sqrt{(-5-7)^{2}+(2+3)^{2}}}}$

$\sf{=\sqrt{(-12)^{2}+5^{2}}}$

$\sf{=\sqrt{144+25}}$

$\sf{=\sqrt{169}}$

$\sf{=13}$

$\sf{The \ distance \ between \ the \ points \ is \ 13 \ units.}$