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Problem
Problem
If
g
,
h
,
k
g, h, k
g
,
h
,
k
denotes the side of a pedal triangle, then prove that
g
a
2
+
h
b
2
+
k
c
2
=
a
2
+
b
2
+
c
2
2
a
b
c
\frac{g}{a^2} + \frac{h}{b^2} + \frac{k}{c^2} = \frac{a^2 + b^2 + c^2}{2abc}
a
2
g
+
b
2
h
+
c
2
k
=
2
ab
c
a
2
+
b
2
+
c
2
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