Assume that alpha is an angle in standard position whose terminal side contains the given point. (-2,6) find the hypotenuse
In order to find the hypotenuse of the triangle formed by the point (-2, 6) and the x-axis, we need to find the distance between the origin (0, 0) and the given point.
Using the distance formula, the hypotenuse can be found:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates:
Distance = √((-2 - 0)^2 + (6 - 0)^2)
Distance = √((-2)^2 + 6^2)
Distance = √(4 + 36)
Distance = √40
Distance = 2√10
Therefore, the hypotenuse is 2√10.