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d^2+(a-b)^2<c^2 where d is diameter of incricle (HOMC 2009 Q10)
d^2+(a-b)^2<c^2 where d is diameter of incricle (HOMC 2009 Q10)
Source:
July 25, 2019
geometry
inequalities
geometric inequality
Problem Statement
Prove that
d
2
+
(
a
−
b
)
2
<
c
2
d^2+(a-b)^2<c^2
d
2
+
(
a
−
b
)
2
<
c
2
,where
d
d
d
is diameter of the inscribed circle of
△
A
B
C
\vartriangle ABC
△
A
BC
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