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QUESTION
How do you find the distance between point A(-3, 5) and point B(4, -6) in the coordinate plane?
The distance AB can be calculated by applying the theorem of Pythagoras in the triangle ABC, where C is the point of coordinates ##(-3, -6)##.
##AB^2 = AC^2 + BC^2##
##AC = 5 + 6 = 11## and ##BC = 3 + 4 = 7##
Therefore, ##AB^2 = 11^2 + 7^2 = 121 + 49 = 170## ##=>## ##AB = sqrt 170##
