Question

find the distance between (2,3) (5,-2)​

Answer 1

Hello, Buddy!!

Given:-

• Point X = (2,3)
• Point Y = (5,-2)

To Find:-

• Distance between X & Y.

Required Solution:-

$\sqrt{ {(5 - 2)}^{2} + {( - 2 - 3)}^{2} } \\ \sqrt{ {(3)}^{2} + {( - 5)}^{2} } \\ \sqrt{9 + 25} \\ \sqrt{36} \\ \sqrt{ {(6)}^{2} } \\ 6$

• Required Distance ➪ 6units.

Formulas Used:-

• Distance between two points = √[(x2-x1)²+(y2-y1)²] units.

@MrMonarque♡

Hope It Helps You ✌️

Answer 2

QUESTION :- Find the distance between (2,3) (5,-2).

SOLUTION :-

Given :-

(2,3) and (5,-2)

$x_1 = 2 \\ y_1 = 3$ and $x_2 =5 \\ y_2 = - 2$

By Distance formula,

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

Putting the values in the formula,

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

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

$= \sqrt{9 + 25}$

$= \sqrt{36}$

$= 6$

Therefore the distance the given two points is 6 units.