Question

find the distance between the points (-3, 5) and (3, 1)​

Answer 1

Using formula sqrt(x2-x1)^2 +(y2-y1)^2

Sqrt (-3-3)^2 - (5-1)^2 (sqrt = square root)

Sqrt 36 - 16

Sqrt 20

Answer 2

SOLUTION

TO DETERMINE

The distance between the points (-3, 5) and (3, 1)

CONCEPT TO BE IMPLEMENTED

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$ the distance between the points

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

EVALUATION

Here the given points are (-3, 5) and (3, 1)

Hence the required distance

$\sf \: = \sqrt{ {( - 3 - 3)}^{2} + {(5 - 1)}^{2} } \: \: \: \: unit$

$\sf \: = \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \: \: \: \: unit$

$\sf \: = \sqrt{ 36 + 16} \: \: \: \: unit$

$\sf \: = \sqrt{ 52} \: \: \: \: unit$

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