Question

Find the distance between two points: W(5,-6) and X(-8,2)

Answer 1

By Distance Formula,

Distance = $\sqrt{[5 - (-8)]^2 + [ -6 -2]^2}$


Distance = $\sqrt{(5 +8)^2 + (-8)^2}$

Distance = $\sqrt{13^2 + 64}$

Distance = $\sqrt{169 + 64}$


Distance = $\sqrt{233} units$




i hope this will help you



-by ABHAY

Answer 2

Hi.

Good question and Keep Progressing.

Here is your answer---

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Let the co-ordinates of W(5,-6) and X(-8,2) be (x1,y1) and (x2,y2) respectively.

To find the distance between W and X, Using the distance Formula,
 
  Distance  = √ [(x2 - x1)^2 + ( y2 - y1)^2]
                  = √ [ (-8 -5)^2 + (2 - {-6})^2]
                  = √ [ (-13)^2 + (8)^2]
                  = √ [ 169 + 64]
                  = √233 units ( or 15.264 units)

Thus, the Distance between the Points W and X is √233 units.

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Hope it helps.

Have a nice day.