Triangle Island

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Hugo sent us pictures of his solution. Well done, Hugo!

I know that the area of a triangle is given by the forumula \[ \frac{1}{2} \times base \times height.\] The original triangle has base $1$ and height $1$, so as long as each triangle on the way also has base $1$ and height $1$ the area will stay the same".

Starting positionAfter step 1After step 2After step 3After step 4After step 5After step 6After step 7After step 8After step 9After step 10

Published October 2003.