Exercise 3: ABC is an isosceles triangle with vertex A. K is the orthogonal projection of A on (BC) and O is the midpoint of [AC]. N is the symmetric of K with respect to O. 1) Prove that AKCN is a rectangle. 2) Prove that ABKN is a parallelogram

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
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Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
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Exercise 3:
ABC is an isosceles triangle with vertex A.
K is the orthogonal projection of A on (BC) and O is the midpoint of [AC]. N is the
symmetric ofK with respect to O.
1) Prove that AKCN is a rectangle.
2) Prove that ABKN is a parallelogram
Transcribed Image Text:Exercise 3: ABC is an isosceles triangle with vertex A. K is the orthogonal projection of A on (BC) and O is the midpoint of [AC]. N is the symmetric ofK with respect to O. 1) Prove that AKCN is a rectangle. 2) Prove that ABKN is a parallelogram
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