Question

Distance between -3,-2 and 5,2

Answer 1

We can find the distance between two points by using distance formula,

$\qquad \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }}$

Here,

x₁ = -3

x₂ = 5

y₁ = -2

y₂ = 2

Therefore,

$: \implies \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }} \\ \\ : \implies \: D = \sf \sqrt{ {(5-( - 3))}^{2} + {(2 -( - 2))}^{2} }\\ \\ : \implies \: D = \sf \sqrt{ {8}^{2} + {4}^{2} } \\ \\ : \implies \: D = \sqrt{64 + 16} \\ \\ : \implies \: D = \sqrt{80}$

Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).