Problema Solution

Equilateral triangle PQR is formed by joining centers P,Q,R is formed by joining centers P,Q,R of the circles. Each pair of circles has exactly one point in common??

which one is greater? either the perimeter of triangle PQR or the circumference of the circle with center Q?

Answer provided by our tutors

Van Aubel's Theorem is related to Napoleon's Theorem. Van Aubel's Theorem states that if four squares are drawn on the edges of any quadrilateral then the lines joining the centres of the squares on opposite edges are equal in length and perpendicular.

Δ PQR || Δ NMR.

P → N PQ → NM

Q → M QR → MR

R → R PR → NR