Question

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Show that the points:
i) (2, 4), (2, 6), (2 + √3, 5) form an equilateral triangle.
ii) (1, 3), (3, -1), (-5, -5) form a right angled triangle.
iii) (-2, 5), (3, -4), (7, 10) form a right angled isosceles triangle.
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Answer 1

use the distance formula d=√(((x2-x1)^2)+(y2-y1)^2))
in a) check whether the 3distances are same
b) check whether h^2=b^2+p^2
c) check whether any 2 distances are equal and h^2=p^2+b^2