Question

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

Answer 1

Answer:

13 units

Step-by-step explanation:

Given,

(2 , -5)

(7 , 7)

To Find :-

Distance between the points

Formula Required :-

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

Solution :-

$x_1 = 2 , y_1 = - 5$

$x_2=7 , y_2=7$

$d=\sqrt{(7-2)^2+(7-(-5)^2}$

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

$d=\sqrt{25+144}$

$d=\sqrt{169}$

d = 13 units.

Answer 2

Answer:

$13 units$

Step-by-step explanation:

$\sqrt{{(x_{2}-x_{1})}^{2} + {(y_{2}-y_{1} )}^{2} }$

$\sqrt{{(7-2)}^{2} + {(7+5)}^{2} }$

$\sqrt{5^{2} + 12^{2}}$

$\sqrt{25+144}$

$\sqrt{169}$

$13 units$