Pythagoras Theorem Kit (Senior)

Four identical right triangles are arranged in two different ways inside the same (a + b) square frame: once around c², once beside a² and b². The space left over is equal both times, proving a² + b² = c².

How it works

1. Arrange the four triangles inside the frame so the c² square is left in the middle
2. Rearrange the same four triangles so two squares, a² and b², are left instead
3. The frame and triangles are unchanged, so c² must equal a² + b²

What students learn

• A proof of Pythagoras theorem by rearrangement
• Equal areas can be shown without measuring
• Pythagoras theorem is the basis of the distance formula

Try these activities

1. Explain each step of the proof in your own words
2. Use the theorem to find the diagonal of a rectangle
3. Check a 5-12-13 triangle with the theorem

Curriculum fit

In the box

• Board 340 x 340 mm
• Engraved acrylic triangles and c² square
• Step-by-step manual

Pairs well with

Pythagoras Theorem Working ModelMATH-123Two Congruent Right TrianglesMATH-122