In an acute angled triangle AABC, BD, CEare heights. If the line DE intersects the circumcircle of AABC at P, Q respectively, show that AP = AQ. D B' One may show ZAPQ = ZAQP since there are many equal angles due to the circles. Notice that B, C, D, E are concyclic.
In an acute angled triangle AABC, BD, CEare heights. If the line DE intersects the circumcircle of AABC at P, Q respectively, show that AP = AQ. D B' One may show ZAPQ = ZAQP since there are many equal angles due to the circles. Notice that B, C, D, E are concyclic.
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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Transcribed Image Text:In an acute angled triangle AABC, BD, CEare heights. If the
line DE intersects the circumcircle of AABC at P, Q respectively, show that
AP = AQ.
P
B
One may show ZAPQ = ZAQP since there are many equal angles
due to the circles. Notice that B, C, D, E are concyclic.
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