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Triangle Island

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
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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

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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