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Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as shown in the figure below). Thus, one of the two remaining vertices of side AB and the other on side AC. Points B, and C, are defined in a similar way for with two vertices on sides AC and AB, respectively. Prove that lines AA,, BB, CC, a

Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as shown in the figure below). Thus, one of the two remaining vertices of side AB and the other on side AC. Points B, and C, are defined in a similar way for with two vertices on sides AC and AB, respectively. Prove that lines AA,, BB, CC, a

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section: Chapter Questions
Problem 4RQ
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Let A, be the center of the square inscribed in acute triangle ABC with two vertices of the square on side BC (as shown in the figure below). Thus, one of the two remaining vertices of the square lies on side AB and the other on side AC. Points B, and C, are defined in a similar way for inscribed squares with two vertices on sides AC and AB, respectively. Prove that lines AA,, BB, CC, are concurrent. S E B A₁
Transcribed Image Text:Let A, be the center of the square inscribed in acute triangle ABC with two vertices of the square on side BC (as shown in the figure below). Thus, one of the two remaining vertices of the square lies on side AB and the other on side AC. Points B, and C, are defined in a similar way for inscribed squares with two vertices on sides AC and AB, respectively. Prove that lines AA,, BB, CC, are concurrent. S E B A₁
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