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 bracket, 4, comma, minus, 3, right bracket, and , left bracket, minus, 2, comma, minus, 9, right bracket
(4,−3) and (−2,−9)
Leg 1: 6, Leg 2: 6, Distance: ?
To plot the right triangle, start by plotting the two given points on a coordinate plane:
Point A: (4, -3)
Point B: (-2, -9)
Next, draw a line connecting points A and B to represent the hypotenuse of the right triangle. The length of the hypotenuse is the distance between the two points.
Using the distance formula, the distance between two points (x1, y1) and (x2, y2) is calculated as follows:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Applying this formula to points A and B:
Distance = √((-2 - 4)^2 + (-9 - (-3))^2)
Distance = √((-6)^2 + (-9 + 3)^2)
Distance = √(36 + (-6)^2)
Distance = √(36 + 36)
Distance = √72
Distance ≈ 8.5 (rounded to the nearest tenth)