ABC is a right-angled triangle at A. Show that, if AD is the per- pendicular from A to the hypotenuse and denoting AB, AC, BC, AD by c, b, a, e, then 1/e² = (1/c²) + (1/6²) (Fig. 53). B U D U U

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 36E
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ABC is a right-angled triangle at A. Show that, if AD is the per-
pendicular from A to the hypotenuse and denoting AB, AC, BC, AD by c, b, a,
e, then 1/e² = (1/c²) + (1/6²) (Fig. 53).
A
b
U
D
D
B
Transcribed Image Text:ABC is a right-angled triangle at A. Show that, if AD is the per- pendicular from A to the hypotenuse and denoting AB, AC, BC, AD by c, b, a, e, then 1/e² = (1/c²) + (1/6²) (Fig. 53). A b U D D B
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