The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?
Triangle ABC has a right angle at C. ACRS and CBPQ are squares. ST
and PU are perpendicular to AB produced. Show that ST + PU = AB
Points D, E and F are on the the sides of triangle ABC.
Circumcircles are drawn to the triangles ADE, BEF and CFD
respectively. What do you notice about these three circumcircles?
Prove that the internal angle bisectors of a triangle will never
be perpendicular to each other.