to derive the standard formula of a circle, a radius r is constructed as the hypotenuse of a right triangle…

to derive the standard formula of a circle, a radius r is constructed as the hypotenuse of a right triangle as shown. what are the lengths of the sides of the right triangle that is formed? check all that apply. h k h - k x - h x - y y - h y - k

to derive the standard formula of a circle, a radius r is constructed as the hypotenuse of a right triangle as shown. what are the lengths of the sides of the right triangle that is formed? check all that apply. h k h - k x - h x - y y - h y - k

Answer

Explanation:

Step1: Recall distance in coordinate - geometry

The horizontal distance between two points (D(h,k)) and (E(x,y)) is given by the difference in their (x) - coordinates. The vertical distance is given by the difference in their (y) - coordinates.

Step2: Determine the sides of the right - triangle

In a right - triangle formed with the center (D(h,k)) and a point on the circle (E(x,y)), the horizontal side length is (|x - h|) and the vertical side length is (|y - k|).

Answer:

x - h, y - k