The cosine rule (law of cosines)
11th grade (Year 12 in England) · 16 questions · Common Core: HSG.SRT.D.10, HSG.SRT.D.11 · England: GCSE Higher Geometry
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Question 1
A triangle has sides a = 12, b = 10 and c = 4. Find angle C (opposite side c) to 1 decimal place.
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Question 2
In triangle ABC, b = 20 cm, c = 9 cm and angle A = 90°. Find side a to 1 decimal place.
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Question 3
A triangle has sides a = 6, b = 7 and c = 8. Find angle C (opposite side c) to 1 decimal place.
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Question 4
In triangle ABC, b = 15 cm, c = 17 cm and angle A = 65°. Find side a to 1 decimal place.
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Question 5
A triangle has sides a = 9, b = 6 and c = 12. Find angle C (opposite side c) to 1 decimal place.
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Question 6
In triangle ABC, b = 20 cm, c = 6 cm and angle A = 25°. Find side a to 1 decimal place.
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Question 7
A triangle has sides a = 4, b = 9 and c = 6. Find angle C (opposite side c) to 1 decimal place.
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Question 8
In triangle ABC, b = 20 cm, c = 13 cm and angle A = 75°. Find side a to 1 decimal place.
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Question 9
A triangle has sides a = 10, b = 13 and c = 14. Find angle C (opposite side c) to 1 decimal place.
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Question 10
In triangle ABC, b = 16 cm, c = 10 cm and angle A = 97°. Find side a to 1 decimal place.
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Question 11
A triangle has sides a = 8, b = 5 and c = 11. Find angle C (opposite side c) to 1 decimal place.
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Question 12
In triangle ABC, b = 12 cm, c = 15 cm and angle A = 104°. Find side a to 1 decimal place.
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Question 13
A triangle has sides a = 8, b = 11 and c = 15. Find angle C (opposite side c) to 1 decimal place.
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Question 14
In triangle ABC, b = 20 cm, c = 20 cm and angle A = 44°. Find side a to 1 decimal place.
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Question 15
A triangle has sides a = 11, b = 8 and c = 12. Find angle C (opposite side c) to 1 decimal place.
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Question 16
In triangle ABC, b = 8 cm, c = 12 cm and angle A = 120°. Find side a to 1 decimal place.
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