This problem in geometry has been solved in no less than EIGHT ways
by a pair of students. How would you solve it? How many of their
solutions can you follow? How are they the same or different? Which
do you like best?
On a nine-point pegboard a band is stretched over 4 pegs in a
"figure of 8" arrangement. How many different "figure of 8"
arrangements can be made ?
The length AM can be calculated using trigonometry in two different
ways. Create this pair of equivalent calculations for different peg
boards, notice a general result, and account for it.
The diagram shows three squares on the sides of a triangle
Their areas are respectively 18 000, 20 000 and 26 000 square
If the squares are joined, three more triangular areas are
enclosed. What is the area of this convex hexagon?