Question

find the distance between ( 5 , 4 ) and ( -2 , 5 )​

Answer 1

Answer:

Given:-

(5,4),(-2,5)

Distance formula:-

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

Solution:-

$= \sqrt{( { - 5 - 2) })^{2} + ({5 - 4})^{2} }$

$= \sqrt{ { ( - 5 - 2)}^{2}{ + 1}^{2} }$

$= \sqrt{ { - 7}^{2} + {1}^{2} }$

$= \sqrt{49 + 1}$

$= \sqrt{50}$ or 5√2

=7.071(By squre root) or 7.070(By taking √2=1.414) (5×1.414)

=7.07 (In both cases we get 7.07 as approximate value).