A Triangular Plate

Q. Find the height of the center of mass of the equilateral triangular lamina from the side $\text{AB}$ as shown in figure. Given, side of the triangular lamina is $3\text{m}$.

1. $\sqrt{3}\text{m}$
2. $\frac{3}{\sqrt{2}}\text{m}$
3. $\frac{\sqrt{3}}{2}\text{m}$
4. $\frac{\sqrt{2}}{3}\text{m}$

Q. The center of mass of a triangle with a uniform mass density coincides with

1. Circumcenter
2. Centroid
3. Incenter
4. Othrocenter