Question

In a triangle origin is centroid and all medians are of length $3$ units. If one of the vertex is $(-3,4)$ and $I$ is incentre of the triangle then $GI=$

• A. $0$
• B. $5$
• C. $\frac{5}{3}$
• D. $\frac{10}{3}$

Answer 1

The correct option is A $0$

If all medians are of equal length then the triangle will be equilateral. We know that, in an equilateral triangle centroid and incenter coincides.
$\therefore GI=0$