If h1 , h2, and h, are the altitudes dropped from P, Q, and R, respectively, in a triangle (see the figure), show that 1 h2 K where K is the area of the triangle and s = (a + b + c). [Hint: h, = 2K a P C R В a

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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If h1 , h2, and h, are the altitudes dropped from P, Q, and R,
respectively, in a triangle (see the figure), show that
1
h2
K
where K is the area of the triangle and s = (a + b + c).
[Hint: h, =
2K
a
P
C
R
В
a
Transcribed Image Text:If h1 , h2, and h, are the altitudes dropped from P, Q, and R, respectively, in a triangle (see the figure), show that 1 h2 K where K is the area of the triangle and s = (a + b + c). [Hint: h, = 2K a P C R В a
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