Question

Graph 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, minus, 1, comma, 2, right parenthesis, and , left parenthesis, 2, comma, 5, right parenthesis
(−1,2) and (2,5)

Answer 1

Plot the points and form a right triangle by dropping a horizontal and vertical leg between them: from (−1,2) to (2,2) (length 3) and from (2,2) to (2,5) (length 3).

Distance = hypotenuse = sqrt(3^2 + 3^2) = sqrt(18) = 3√2 ≈ 4.2426 → 4.2 (to the nearest tenth).