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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 38E: In right ABC with right C,AD bisects BAC. If AC=6 and DC=3, find BD and AB. HINT: Let BD=x and...
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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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