Cleave Books Puzzle Trio 9
25. 
The diagram is of an irregular pentagon with all 5 of its diagonals drawn in.
How many distinct triangles (not necessarily different) can be found, using only the lines (or parts of lines) in the diagram? 

26. 
Alexis, Phil, Kit and Terri had a race.
Their finishing order was 1, 2, 3, 4 with no ties.
Phil beat Terri, but was not 1st or 3rd
Alexis was just one place in front of Terri.
What was their finishing order?

27. 

It is planned to make a flower bed in the shape
of a rectangle with a semicircle attached at one edge.
It will have a perimeter of 10 metres.
What is the maximum area it could have?

