The Prove that the triangle formed by the points A (0,0), B (1, sqrt3), and C (2,0) is equilateral is given below
An equilateral triangle is aid to be a triangle that is known to have all its three sides to be of the same length.
Note that:
AB= [tex]\sqrt{(0-0)^ 2 +(1.73-1)^ 2}[/tex]
=[tex]\sqrt{}[/tex]0.5329
= 0.73
BC= [tex]\sqrt{(1.73-1)^ 2 +(0-2)^ 2}[/tex]
=[tex]\sqrt{}[/tex]0.5329
= 0.73
CA= [tex]\sqrt{(0-2)^ 2 +(0-0)^ 2}[/tex]
=[tex]\sqrt{}[/tex]0.5329
= 0.73
So therefore, AB=BC=CA
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