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Given is an acute-angled different-sided triangle ABC. The axis of the interior angle at the vertex A and the axes of the sides ABAC define triangle. Prove that the intersection of its heights lies on the perpendicular from the vertex A.

Given is an acute-angled different-sided triangle ABC. The axis of the interior angle at the vertex A and the axes of the sides ABAC define triangle. Prove that the intersection of its heights lies on the perpendicular from the vertex A.

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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Given is an acute-angled different-sided triangle ABC. The axis of the interior angle at the vertex A and the axes of the sides ABAC define triangle. Prove that the intersection of its heights lies on the perpendicular from the vertex A.
Transcribed Image Text:Given is an acute-angled different-sided triangle ABC. The axis of the interior angle at the vertex A and the axes of the sides ABAC define triangle. Prove that the intersection of its heights lies on the perpendicular from the vertex A.
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