Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of the semi-circle. You must use vector geometry.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.5: The Distance And Midpoint Formulas
Problem 50E
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Hello there, how do you prove this? (image attached)

Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other
point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of
the semi-circle. You must use vector geometry.
Transcribed Image Text:Suppose that A and B are two points on opposite ends of the diameter of a circle. Let C be any other point on the circle. Prove that triangle ABC is a right triangle. In the picture below, O is the center of the semi-circle. You must use vector geometry.
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