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WOLFRAM
|
DEMONSTRATIONS
PROJECT
Triangle Altitudes and Circumradius
AA
'
×
BB
'
×
CC
'
≈
122
.
FractionBox
[
SuperscriptB
ox
[
\(
(
BC
×
AC
×
AB
)
\)
,
\(
2
\)
]
,
\(
8
\*
SuperscriptBox
[
\(
circu
mradius
\)
,
\(
3
\)
]
\)
]
≈
122
.
A
B
C
A
'
B
'
C
'
If ABC is a triangle with side lengths
a
,
b
, and
c
, altitudes
α
,
β
, and
γ
, and circumradius
R
, then
α
β
γ
=
(
a
b
c
)
2
8
R
3
.
