Rearranging Formula: Mixed Review
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on rearranging the Cosine Rule to find angles and sides, including procedural practice and real-world applications.
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Full preview • 12 questions
Rearranging Formula: Mixed Review
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Rearrange the Cosine Rule to find the angle C in a triangle with sides a = 7, b = 10, and c = 12.
[3 marks]2.
Calculate the value of angle C when sides are a=7, b=10, c=12, and rearranged formula is applied.
[3 marks]3.
A triangle has sides of 8 cm, 15 cm, and 17 cm. Use the rearranged Cosine Rule to find angle A opposite side 8 cm.
[3 marks]4.
Given sides of 8, 15, and 17 cm, calculate angle A.
[3 marks]5.
Rearrange the formula to find side c given sides a, b and angle C.
[3 marks]6.
If a=9, b=12, and angle C=60°, find side c using the rearranged formula.
[4 marks]7.
A triangle with sides 5 cm, 7 cm, and an unknown side c has an angle C of 100° opposite side c. Rearrange the formula to find c.
[3 marks]8.
Calculate side c in the triangle with sides 5 cm, 7 cm and angle C=100°.
[4 marks]9.
A practical scenario: A ladder leans against a wall forming a triangle with ground and wall. The ladder length is 10 m, and the distance from wall to foot of ladder is 6 m. Use the rearranged cosine formula to find the angle between the ladder and the ground.
[4 marks]10.
Identify and correct the mistake: The formula c² = a² + b² + 2ab cos C was used to find side c.
[2 marks]11.
A triangle has sides 9, 12, and 15. Use the rearranged formula to verify if the triangle is obtuse, right-angled, or acute based on the angles calculated.
[4 marks]12.
Construct a triangle on the grid with sides 8 cm, 15 cm, and 17 cm. Use the rearranged formula to approximate the angles.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet