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 = 14, b = 6 and c = 14. Find angle C (opposite side c) to 1 decimal place.
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Question 2
In triangle ABC, b = 20 cm, c = 20 cm and angle A = 128°. Find side a to 1 decimal place.
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Question 3
A triangle has sides a = 11, b = 10 and c = 11. Find angle C (opposite side c) to 1 decimal place.
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Question 4
In triangle ABC, b = 17 cm, c = 10 cm and angle A = 112°. Find side a to 1 decimal place.
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Question 5
A triangle has sides a = 14, b = 7 and c = 8. Find angle C (opposite side c) to 1 decimal place.
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Question 6
In triangle ABC, b = 8 cm, c = 15 cm and angle A = 118°. Find side a to 1 decimal place.
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Question 7
A triangle has sides a = 14, b = 4 and c = 14. Find angle C (opposite side c) to 1 decimal place.
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Question 8
In triangle ABC, b = 13 cm, c = 8 cm and angle A = 63°. Find side a to 1 decimal place.
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Question 9
A triangle has sides a = 5, b = 11 and c = 15. Find angle C (opposite side c) to 1 decimal place.
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Question 10
In triangle ABC, b = 12 cm, c = 20 cm and angle A = 123°. Find side a to 1 decimal place.
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Question 11
A triangle has sides a = 14, b = 12 and c = 4. Find angle C (opposite side c) to 1 decimal place.
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Question 12
In triangle ABC, b = 12 cm, c = 18 cm and angle A = 70°. Find side a to 1 decimal place.
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Question 13
A triangle has sides a = 12, b = 13 and c = 10. Find angle C (opposite side c) to 1 decimal place.
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Question 14
In triangle ABC, b = 9 cm, c = 7 cm and angle A = 139°. Find side a to 1 decimal place.
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Question 15
A triangle has sides a = 10, b = 10 and c = 14. Find angle C (opposite side c) to 1 decimal place.
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Question 16
In triangle ABC, b = 5 cm, c = 4 cm and angle A = 103°. Find side a to 1 decimal place.
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