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AABC has inradius r, altitudes of length ha, hb, hc, and exradii ra, b, c. 1 1 1 1 + ra r (b) Prove that ha (a) Prove that - rb Tc 2rra ra - r

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 10E: Suppose a circle of radius r is inscribed in a rhombus, each of whose sides has length s. Find an...

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Question

AABC has inradius r, altitudes of length ha, hb, hc, and exradii ra, b, c.
1
1
1
r
(a) Prove that
1
ra
(b) Prove that ha
=
-
ro
+
ra
rc
2rra
- r
=

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