Question

Find the distance between the points A(1,-3), B(-2,5)

Answer 1

Answer:

$\bigstar{\bold{Distance\:=\:\sqrt{73}\:units}}$

Step-by-step explanation:

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

• Point A ( 1 , -3 )
• Point B ( -2 , 5)

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Distance between A and B

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

→ Distance between two points is given by the formula,

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

 where x₁ = 1, x₂= -2, y₁ = -3, y₂ = 5

→ Substituting the values we get,

   Distance = $\sqrt{(-2-1)^{2} +(5+3)^{2} }$

   Distance = $\sqrt{-3^{2}+8^{2} }$

   Distance = $\sqrt{9+64}$

   Distance = $\sqrt{73}$

$\boxed{\bold{Distance\:=\:\sqrt{73}\:units}}$

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

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

   

Answer 2

Step-by-step explanation:

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