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Pythagoras Puzzle


Can you reposition the pieces to fill the three squares?

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Filling the two smaller squares is relatively simple. However, to complete the larger square requires all five pieces and an understanding of Pythagoras’s Theorem.

What is Pythagoras's Theorem?

At the centre of the three squares you’ll see a right angled triangle. By repositioning the pieces that make up the two small squares on the smaller sides of the triangle, we can produce a single square on the largest side of the triangle. Pythagoras’s Theorem, discovered ~ 2,500 years ago, says that the square of the hypotenuse (a) equals the sum of the squares on the other two sides (b and c). Can you see it in these floor tiles? If you are not sure, count the squares.

Pythagoras's Theorem in action

Pythagoras's Theorem is true for all right angled triangles, whatever their size or shape.

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Look Closer

Welcome to Look Closer, Techniquest's brand new digital tool. We're trialling Look Closer as a way of offering you a closer look at the science demonstrated by many of our exhibits. You'll find visitor sheets, videos, articles on contemporary science as well as fun trails to navigate your way around the exhibition space.

Speak to our Science Communicators to find out more.