Question

Find the distance between the points A(-5,8) and (0,-4).

Answer 1

Answer:

Step-by-step explanation:

AB = root (0+5) ki power 2+ (-4-8) ki power 2 , AB = root 5 ki power 2+ (-12) ki power 2 , AB = root 25 + 144 , AB = root 169 , AB = 13cm

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 = -5
• x2 = 0
• y1 = 8
• y2 = -4

_______________[Put Values]

$\sf{→Distance = \sqrt{\big(0 - (-5)\big)^2 + (-4 - 8 )^2}} \\ \\ \sf{→ Distance = \sqrt{(5)^2 + (-12)^2}} \\ \\ \sf{→ Distance = \sqrt{25 + 144}} \\ \\ \sf{→ Distance = \sqrt{169}} \\ \\ \sf{→ Distance = (\sqrt{13})^2} \\ \\ \sf{→ Distance = 13}\\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = 13}}}}}$