Question

Find the distance between the following pair of points:
(- 3, 4), (3, 0)

Answer 1

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

We know that,

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

Where,

• x1 = -3
• x2 = 3
• y1 = 4
• y2 = 0

_____________[Put Values]

$\sf{→ Distance = \sqrt{\big(3 - (-3)\big)^2 + (0 - 4)^2}} \\ \\ \sf{→ Distance = \sqrt{(3 + 3)^2 + (-4)^2}} \\ \\ \sf{→ Distance = \sqrt{36 + 16}} \\ \\ \sf{→ Distance = \sqrt{52}} \\ \\ \sf{→ Distance = \sqrt{2 \times 2 \times 13}} \\ \\ \sf{→ Distance = 2 \sqrt{13}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = 2 \sqrt{13}}}}}}$