Question

Find the distance between the points (-3,5) and (9,-11).

Answer 1

Answer:

The distance between the points is 400units

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

We know that,

$\Large{\implies{\boxed{\boxed{\sf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}}}}$

Where,

• x1 = -3
• x2 = 9
• y1 = 5
• y2 = -11

_______________[Put Values]

$\sf{→Distance = \sqrt{\big(9 - (-3)\big)^2 + (-11 - 5)^2}} \\ \\ \sf{→ Distance = \sqrt{(12)^2 + (-16)^2}} \\ \\ \sf{→ Distance = \sqrt{144 + 256}} \\ \\ \sf{→ Distance = \sqrt{400}} \\ \\ \sf{→ Distance = (\sqrt{20})^2} \\ \\ \sf{→ Distance = 20} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = 20}}}}}$