Show how to construct four congruent circles, inside an acute triangle ABC, with centers A', B', C', and D' such that
- circle with center A' is tangent to sides AB and AC,
- circle with center B' is tangent to sides BC and BA,
- circle with center C' is tangent to sides CA and CB, and
- circle with center D' is externally tangent to the other three circles.
(In reply to If this is what is meant then this is a solution
The triangle is given and you must cunstruct the circles inside the triangle satisfying the given conditions 1-4 and the fact that the circles must be congruent (have the same radius).
Posted by Bractals
on 2006-06-14 18:33:02