Explore the geometry of these dart and kite shapes!
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.
ABCDE is a regular pentagon of side length one unit. BC produced
meets ED produced at F. Show that triangle CDF is congruent to
triangle EDB. Find the length of BE.
Taking a route between those two approaches :
It is possible to use a spreadsheet to explore the change in area distribution.
Why can this be generalised?