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Question : 85 of 101
Marks:
+1,
-0
Solution:
Consider the given points as the vertices of a triangle.
A=(α,β,γ) B=(β,γ,α)C=(γ.α,β)Hence the following sides will be the sides of the triangle
Therefore
a=√(β−α)2+(γ−β)2+(α−γ)2
b=√(β−α)2+(γ−β)2+(α−γ)2
c=√(β−α)2+(γ−β)2+(α−γ)2
∴a=b=cHence all the sides of the triangle thus formed are equal.
Therefore the triangle is an equilateral triangle.
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