Show that the following points form a equilateral
triangle A(a,0), B(-a,0), c(0,a root 3)
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Step-by-step explanation:
Find the length of all sides by distance formula,
AB = root[(-a-a)^2+(0-0)^2] = root(4a^2) = 2a units.
BC = root[{0-(-a)}^2 + (aroot3-0)^2]
= root(a^2+3a^2) = root(4a^2) = 2a units.
CA= root[(a-0)^2+(0-aroot3)^2]
=root(a^2+3a^2) = root(4a^2) = 2a units.
Because length of all sides AB,BC & CA is 2a units.
Therefore,Points A(a,0) ,B(-a,0) ,C(0,aroot3) form an equilateral triangle.
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