Triangle Exploration Worksheet

Name:

Date:

🔺 Part 1: Spot the Triangle!

Read each description and circle the correct triangle type. You can use the word bank below to help you!

📖 Word Bank: Equilateral | Isosceles | Scalene | Right-angled

1. This triangle has 3 equal sides and 3 equal angles. What type is it?

Equilateral

Isosceles

Scalene

Right-angled

2. This triangle has 2 equal sides and 2 equal angles. What type is it?

Equilateral

Isosceles

Scalene

Right-angled

3. This triangle has all different side lengths and all different angles. What type is it?

Equilateral

Isosceles

Scalene

Right-angled

4. Tick ALL the statements that are true about an equilateral triangle:

All 3 sides are the same length

Each angle is 60°

One angle is 90°

All 3 angles add up to 180°

📐 Part 2: Find the Missing Angle

Remember: The angles inside every triangle always add up to 180°. Use this to find the missing angle!

💡 Tip: Missing angle = 180° − angle 1 − angle 2

5. A triangle has angles of 60° and 80°. What is the missing angle?

6. A triangle has angles of 45° and 90°. What is the missing angle?

7. An isosceles triangle has one angle of 50°. The other two angles are equal. What are the two missing angles?

Hint: The two equal angles share what's left over from 180° − 50°

8. Can a triangle have angles of 90°, 100°, and 10°? Circle your answer:

Yes — they add up to 200°

No — the angles add up to more than 180°

Yes — any three angles can make a triangle

✏️ Part 3: Show What You Know

Use the drawing box and questions below to show your understanding.

9. Draw and label one type of triangle in the box below. Write its name and one fact about it.

10. In your own words, explain why a triangle can never have two right angles (90° each). Write 1–2 sentences.

11. A right-angled triangle is used in a ramp design at a skate park in Auckland. The two shorter angles are equal. What is each angle? Show your working.

⭐ Bonus Challenge: Can you name a real-life object or building in New Zealand that uses a triangle shape? Write it here: _______________________________