Question

The altitude of equilateral triangle BEN is \(12\sqrt{3}\). Find the diameter of a circle circumscribed about this triangle.

Answer 1

I am getting \(16\sqrt{3}\) is that correct?

Answer 2

correct i used radius formula
s/root 3

Answer 3

not sure how to prove it

Answer 4

Ok. I briefly forgot that the formula for the side of an inscribed equilateral triangle is \(r\sqrt{3}\) which would've made this a whole lot easier...I ended up using a whole bunch of 30-60-90 triangles...thanks :)

Answer 5

ohh i am trying the same and parallely googled and got that formula :P