Pythagorean Triangles
With 12 matches a perfect
right angled can be built.
Puzzle 1
Add two matches and divide
this traqngle into two equal areas. It can be done exactly!
Puzzle 2
Now divide it into 3 equal
areas using 4 matches
The right angled triangle 6, 8 10 can also be divide up exactly.
Puzzle 3
Can you divide it into 4 equal areas using 10 matches?
Puzzle 4
Can you divide it into 6 equal areas using 15 matches?
Puzzle 5
Can you divide it into 8 equal areas using 20 matches?
Puzzle 6
Find the fewest number of matches that are needed to divide it into 12 equal parts.
Puzzle 7
The next Pythagorean triple
gives the triangle shown here 5,12,13.
Try and divide it into 3 equal parts
4 equal parts
5 equal parts
6 equal parts