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Three points on a circle - prove formula
Three points on a circle - prove formula
Source: 0
May 6, 2011
Problem Statement
Let
A
,
B
,
P
A,B,P
A
,
B
,
P
be three points on a circle. Prove that if
a
,
b
a,b
a
,
b
are the distances from
P
P
P
to the tangents at
A
,
B
A,B
A
,
B
respectively, and
c
c
c
is the distance from
P
P
P
to the chord
A
B
AB
A
B
, then
c
2
=
a
b
c^2 =ab
c
2
=
ab
.
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