IIT JEE , AIEEE Forum - Mathematics , Algebra

neeraj_agarwal_1990

If |z1|=|z2|=|z3|=1 and z1 +z2 +z3 =0 .... then the area of the triangle whose vertices are z1 , z2 and z3 is??
[ans: 3

3 /4]

rooney

The given conditions are satisfied clearly if we consider the origin to be at centroid of a equilateral triangle, Z1,Z2 and Z3 to be the three vertices ,distance of each vertice from centroid will be 1 (as given). So, total distance of median of triangle is 3/2. Use pythagoras thm, side of triangle is root(3). Use the formula of area of triangle to get area as 3root(3)/4

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