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Part A [1 point]; Let AABC be inscribed in a semicircle with diameter AB such that C is on the circumference of the semicircle as illustrated below. If the center of the circle is the origin, the point A := = (-r, 0), the point B = (r, 0) and the x-coordinate of the point C is x, then C = (x, √r² - x²). (1) Find the slopes of AC and BC. (2) Show that AC 1 BC. (Hint: It may be helpful to recall that (a + b)(a − b) = a² - b²). A X B