Question

Triangle ABC is an equilateral triangle. The angle bisectors and the perpendicular bisectors meet at D in such a way that CD = 2DE.

The radius of the inscribed circle is
units, and the radius of the circumscribed circle is
units.

Answer 1

@hero @sillybilly123 can you check my reasoning on this? my geometry is a little rusty

for a circumscribed circle would the radius be (1/2) the altitude?
and for the inscribed circle would the radius be equal to DE?

Answer 2

Voc


for a circumscribed circle would the radius be (1/2) the altitude? \(\large \color{green}{:-/}\).... if you mean, equal to CD, then yes, see attached

and for the inscribed circle would the radius be equal to DE? \(\huge \color{green}{\checkmark}\)


got images to illustrate all of this, but can't load em up as URL's...