📐 Part 1: Understanding Perimeter and Area

1. What is the perimeter of a triangle?

The space inside the triangle

The total distance around the triangle

Half the base times the height

The longest side of the triangle

2. What is the formula for the area of a triangle?

3. Circle the correct units for measuring perimeter:

Square centimetres (cm²)

Centimetres (cm)

Cubic centimetres (cm³)

Metres squared (m²)

📏 Part 2: Measuring Triangle Perimeters

4. Triangle A has sides measuring 5 cm, 7 cm, and 9 cm. Calculate its perimeter:

5. Triangle B has sides measuring 6 cm, 8 cm, and 10 cm. Calculate its perimeter:

6. A right-angled triangle has a base of 12 cm and height of 9 cm. If the hypotenuse is 15 cm, what is the perimeter?

📊 Part 3: Calculating Triangle Areas

7. Calculate the area of a triangle with base = 8 cm and height = 6 cm:

8. A triangle has a base of 14 cm and height of 5 cm. What is its area?

9. Fill in the missing measurements:

Triangle with base = _______ cm, height = 7 cm, and area = 21 cm²

Triangle with base = 10 cm, height = _______ cm, and area = 30 cm²

🎨 Part 4: Drawing and Measuring Activity

10. Draw Triangle 1 on the grid below with base = 6 cm and height = 4 cm:

11. Measure and record the side lengths of your Triangle 1:

Side 1: _______ cm

Side 2: _______ cm

Side 3: _______ cm

Perimeter: _______ cm

Area: _______ cm²

12. Draw Triangle 2 with the same area but a different shape:

13. Measure and record the side lengths of your Triangle 2:

Side 1: _______ cm

Side 2: _______ cm

Side 3: _______ cm

Perimeter: _______ cm

Area: _______ cm²

🤔 Part 5: Comparing Triangles

14. Compare your two triangles from Part 4. Which statements are true? (Check all that apply)

Both triangles have the same area

Both triangles have the same perimeter

The triangles have different shapes

Changing the shape always changes the area

15. Can two triangles have the same area but different perimeters? Explain your answer:

16. Match each triangle property with its correct description:

1. Perimeter

2. Area

3. Base

4. Height

A. The perpendicular distance from base to opposite vertex

B. The space enclosed within the triangle

C. The total distance around the triangle

D. One side of the triangle used in area calculations

🏆 Part 6: Challenge Problems

17. A triangular garden has a perimeter of 24 metres. Two sides measure 8 metres and 9 metres. What is the length of the third side?

18. Explain why accurate measurement is important when calculating perimeter and area:

19. Design your own triangle problem and solve it:

My triangle problem: ________________________________________________

Triangle Perimeter and Area

Triangle Perimeter and Area

📐 Part 1: Understanding Perimeter and Area

📏 Part 2: Measuring Triangle Perimeters

📊 Part 3: Calculating Triangle Areas

🎨 Part 4: Drawing and Measuring Activity

🤔 Part 5: Comparing Triangles

🏆 Part 6: Challenge Problems

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