Question

raph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
left parenthesis, 4, comma, 7, right parenthesis, and , left parenthesis, minus, 5, comma, minus, 5, right parenthesis
(4,7) and (−5,−5)

Answer 1

Plot a right triangle by drawing horizontal and vertical legs between the points. The horizontal run = Δx = 4 − (−5) = 9. The vertical rise = Δy = 7 − (−5) = 12.

By the Pythagorean theorem, distance = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15.

So the distance is 15.