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Uncanny Triangles

Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?

Triangle Transformation

Start with a triangle. Can you cut it up to make a rectangle?

Rod Area

This task challenges you to create symmetrical U shapes out of rods and find their areas.

Triangle Island

Age 7 to 11
Challenge Level

You have pitched your tent (the red triangle) on an island. Can you move it to the position shown by the purple triangle? You must obey the following rules:

You can only move one peg (corner) at a time.

Pegs (corners) must stay on the island.

The area of your tent (the triangle) must always stay the same but the sides may stretch.
 
Island

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