Question

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
left parenthesis, minus, 9, comma, 6, right parenthesis, and , left parenthesis, minus, 5, comma, 4, right parenthesis
(−9,6) and (−5,4)

Answer 1

Plot the points and draw the horizontal and vertical legs between them: from (−9,6) to (−5,6) is 4 units, and from (−5,6) to (−5,4) is 2 units. These are the legs of a right triangle with hypotenuse between (−9,6) and (−5,4).

Distance = sqrt(4^2 + 2^2) = sqrt(16 + 4) = sqrt(20) = 2√5.