Centroid of triangle formed by the vertices (a, b + c), (b, a + c) and (c, 0)
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Step-by-step explanation:
Centroid of a triangle is calculated by the formula (
3
x
1
+x
2
+x
3
,
3
y
1
+y
2
+y
3
)
So, centroid =(
3
a+b+c
,
3
b+c+a
)=(0,0)
=>a+b+c=0
When a+b+c=0;a
3
+b
3
+c
3
=3abc
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