A triangle is made from thin insulating rods of different lengths, and the rods are uniformly charged, i.e. the linear charge density on each rod is uniform and the same for all three rods. Then

The electric field is zero at the incentre only when it is an equilateral triangle.

The electric field at the incentre of triangle is zero.

If rods are making equilateral triangle of side length 2a ,then field on the axis of triangle passing through centroid and normal to its plane decreases monotonically as distance from centroid increases.

If rods are making equilateral triangle of side length 2a ,then field on the axis of triangle passing through centroid and normal to its plane is maximum at distance $\frac{a}{\sqrt{3}}$ from is centroid.