3D trigonometry and Pythagoras

What you'll learn

1. 1

   Imagine a Toblerone chocolate bar — it's a triangular prism! 🍫

2. 2

   What shape are the ends of a Toblerone?

3. 3

   Let's find the diagonal across the base of a Toblerone box. The base is 6 cm wide and 8 cm long. How long is the diagonal?

4. 4

   Now you try! The base of a Toblerone is 5 cm by 12 cm. Drag the number line to find the diagonal.

5. 5

   What is the diagonal of a 5 cm × 12 cm rectangle?

6. 6

   Now let's find the height of the Toblerone. The triangular end has a base of 6 cm and a sloping side of 5 cm. How tall is it?

7. 7

   A triangle has a base of 8 cm and sloping side 5 cm. What is the height? (Hint: half the base first!)