Can you work out the fraction of the original triangle that is covered by the inner triangle?

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...

Explain how to construct a regular pentagon accurately using a straight edge and compass.

Join in this ongoing research. Build squares on the sides of a triangle, join the outer vertices forming hexagons, build further rings of squares and quadrilaterals, investigate.

Christopher and Tim used different methods, one by solving equations, the other using vector and scalar products.