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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

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