Question

Show that the points A(a , a) , B(-a , -a) and C (-√3a , √3a) are the vertises of the equilateral triangle , also find its area.

Answer 1

Using distance formula find the lengths of all 3 sides which will come to 2a$\sqrt{x}$2 Since lengths of all sides are equal it is an equilateral triangle Using the formula area=1/2 (modulus)(x1 (y2-y3)+x2 (y3-y1)+x3 (y1-y2)) Area=2root3 a*a