a² = b² + c² - 2bc cosA: Fluency & Practice
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on applying the cosine rule a² = b² + c² - 2bc cosA to find missing sides of triangles, enhancing procedural mastery and problem-solving skills.
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a² = b² + c² - 2bc cosA: Fluency & Practice
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the length of side a in a triangle where b = 7 cm, c = 10 cm, and angle A = 60°.
[2 marks]2.
Given b = 8 m, c = 6 m, and angle A = 45°, find side a using the cosine rule.
[3 marks]3.
A triangle has sides b = 5 cm and c = 9 cm. If side a is 10 cm, find the measure of angle A.
[3 marks]4.
Construct a triangle with sides a = 8 cm, b = 6 cm, and c = 10 cm. Mark all angles clearly.
[4 marks]5.
In triangle ABC, sides b = 7 cm, c = 9 cm, and angle A = 30°. Calculate side a.
[3 marks]6.
A triangle has sides a = 10 cm, c = 8 cm, and angle A = 120°. Find side b.
[3 marks]7.
Using the cosine rule, find side a if b = 5 cm, c = 7 cm, and angle A = 90°.
[3 marks]8.
A triangle has sides b = 12 m, c = 15 m, and angle A = 45°. Calculate side a.
[3 marks]9.
A student calculates side a as 9 cm in a triangle with b = 6 cm, c = 8 cm, and angle A = 60°. Is this answer correct? Explain.
[4 marks]10.
Identify and correct the mistake: Given b = 5, c = 9, and angle A = 45°, a student finds side a as 8 cm.
[4 marks]11.
Calculate side a for a triangle with sides b = 6.5 cm, c = 8.5 cm, and angle A = 75°.
[3 marks]12.
A triangle has sides a = 9 cm, b = 12 cm, and angle A = 60°. Find side c.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet