Equilateral triangle: find distance from corners to center of mass

[InfernoBear]

An equilateral triangle has sides a what is the distance d from the corners to the center of mass?
I've got as far as cos30=(a/2)/d but I'm not sure how to rearrange it.

 

[Harry_the_cat]

An equilateral triangle has sides a what is the distance d from the corners to the center of mass?
I've got as far as cos30=(a/2)/d but I'm not sure how to rearrange it.

cos 30^o = \(\displaystyle \frac{\sqrt{3}}{2}\)

so

\(\displaystyle \frac{\sqrt{3}}{2}=\frac{a}{2d}\)

go from there.