Triangles

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?