Show that the points P(7,3), Q(6,3+root 3) and R(5,3) forms an equilateral triangle.

In an equilateral triangle all sides have the same length

so we just have to prove that in this case

points are P(7,3) , Q(6, ) , R(5,3)

now using the formula for length between two points if A , B then AB =

PQ = = = 2

QR = = = 2

PR = = = 2

as all sides have the same length. the triangle is equilateral

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