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Triangle Base Investigation Worksheet

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Triangle Base Investigation Worksheet worksheet preview

Triangle Base Investigation Worksheet

🔍 Part 1: Formula Reminder & Guided Practice

Remember: Area of triangle = base × perpendicular height ÷ 2

Triangle Diagram: Draw and label a triangle showing base, perpendicular height, and area

1. Guided Problem: A triangular garden has an area of 24 m² and perpendicular height of 6 m. Find the base.

Known values:

Area = _______ m² Perpendicular height = _______ m Base = ? m

Formula and inverse operations:

Answer with units: Base = _______ m

Check by substitution:

🌱 Part 2: Garden Detective Missions

2. Triangle garden area = 30 m², perpendicular height = 5 m. Find the base.

Sketch:

Base = _______ m Check: _________________

3. Triangle garden area = 42 m², perpendicular height = 7 m. Find the base.

Sketch:

Base = _______ m Check: _________________

4. Triangle garden area = 18 m², perpendicular height = 4 m. Find the base.

Sketch:

Base = _______ m Check: _________________

5. Extension: Triangle garden area = 22.5 m², perpendicular height = 5 m. Find the base.

Sketch:

Base = _______ m Check: _________________

6. Explain your reasoning: How do you know your answers are reasonable?

Optional sentence starter: "My answers make sense because..."

📁 Part 3: Independent Case File

7. Final Case: A triangular garden has an area of 35 m² and perpendicular height of 7 m. Find the base and prove your answer is correct.

Draw and label your triangle:

Working:

Answer: Base = _______ m

Proof (substitute back into formula):

8. Reflection: What strategy helped you most when finding unknown triangle bases?

Optional sentence starter: "The most helpful strategy was..."

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