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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), (r,0) and the x-coordinate of the point C is x, then C= (x, vr2 - x2). !! the point B (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). Apr 22, 2022, 12:56 PM

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), (r,0) and the x-coordinate of the point C is x, then C= (x, vr2 - x2). !! the point B (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). Apr 22, 2022, 12:56 PM

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Let AABC be inscribed in a semicircle with diameter AB such that C is on the circumference ((r,0), of the semicircle as illustrated below. If the center of the circle is the origin, the point A = !! the point B= (r,0) and the x-coordinate of the point C is x, then C= (x, Vr2 – x2) !! (1) Find the slopes of AC and BC. (2) Show that AC I BC. (Hint: It may be helpful to recall that (a + b)(a - b) = a? - b²). C A Apr 22, 2022, 12:56 PM
Transcribed Image Text:Let AABC be inscribed in a semicircle with diameter AB such that C is on the circumference ((r,0), of the semicircle as illustrated below. If the center of the circle is the origin, the point A = !! the point B= (r,0) and the x-coordinate of the point C is x, then C= (x, Vr2 – x2) !! (1) Find the slopes of AC and BC. (2) Show that AC I BC. (Hint: It may be helpful to recall that (a + b)(a - b) = a? - b²). C A Apr 22, 2022, 12:56 PM
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