Question

Find the distance between the points (-4, 6) and (8, -12).Round your solution to 2 decimal points.

Answer 1

`d= √((x_1 -x_2)^2+(y_1-y_2)^2)= \\ \\ = √((-4 -8)^2+(6-(-12))^2)= \\ \\ = √((-4 -8)^2+(6+12)^2)= \\ \\ = √((-12)^2+(18)^2)= \\ \\ = √(144+324)= \\ \\ =√(468)= √(4 * 9 * 13) = \\ \\ = 2* 3 √(13) = 6√(13) =6* 3.605551=21.63330\approx \boxed{21.63}`

Answer 2

Use pythagoras.

sqrt((6--12)^2 + (8--4)^2) = 6*sqrt(13) = 21.63 (2 d.p.)