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
Weekly Problem 23 - 2008
A triangle has been drawn inside this circle. Can you find the length of the chord it forms?
Three circles have been drawn at the vertices of this triangle. What is the area of the inner shaded area?
Weekly Problem 1 - 2011
Use facts about the angle bisectors of this triangle to work out another internal angle.
Weekly Problem 30 - 2011
Three touching circles have an interesting area between them...
Prove that the internal angle bisectors of a triangle will never be perpendicular to each other.
Given a regular pentagon, can you find the distance between two non-adjacent vertices?
The diagram shows a regular pentagon with sides of unit length. Find all the angles in the diagram. Prove that the quadrilateral shown in red is a rhombus.
Can you work out where the blue-and-red brick roads end?
