School Base Cloud
Translation · experimental

The demo uses prepared translations. No AI service is called. The German original is preserved; changes require a new translation review.

Mathematics · 30 min

The shortest connection

Explore right angles and explain a length calculation.

Prepared demo translation · ENDownload PDF ↓Print viewView original
A folded paper triangle, compass, ruler and geometric solids on a light desk.
A folded paper triangle, compass, ruler and geometric solids on a light desk. · AI-generated illustration

01

Take a closer look

A right-angled triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. Its side lengths satisfy a² + b² = c². This relationship applies only to right-angled triangles.

02

Now try it

  1. Draw a right-angled triangle with legs of 3 cm and 4 cm. Mark the right angle.
  2. Calculate the third side and check it with a ruler. Explain why the drawing gives only an approximation.

03

Think it through

How long is the hypotenuse?

See a suggested answer

3² + 4² = 9 + 16 = 25. The positive square root of 25 is 5. The hypotenuse is 5 cm long.

Fictional demo material. Adapt to the learners and the school’s teaching before use.