Find a side with the cosine rule
11th grade (Year 12 in England) · 16 questions · Common Core: HSG.SRT.D.11 · England: GCSE Higher Geometry
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Score/ 16
Question 1
Ava and Kofi cycle away from the same café along two straight paths with an angle of 81° between them. Ava rides 22 km and Kofi rides 24 km. How far apart are they? Give 1 decimal place.
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Question 2
In triangle ABC, b = 14 cm, c = 8 cm and A = 117°. Find a to 1 decimal place.
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Question 3
Amara and Omar cycle away from the same café along two straight paths with an angle of 93° between them. Amara rides 8 km and Omar rides 17 km. How far apart are they? Give 1 decimal place.
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Question 4
In triangle ABC, b = 11 cm, c = 4 cm and A = 125°. Find a to 1 decimal place.
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Question 5
Kwame and Maya cycle away from the same café along two straight paths with an angle of 130° between them. Kwame rides 15 km and Maya rides 24 km. How far apart are they? Give 1 decimal place.
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Question 6
In triangle ABC, b = 7 cm, c = 15 cm and A = 55°. Find a to 1 decimal place.
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Question 7
Kai and Mei cycle away from the same café along two straight paths with an angle of 132° between them. Kai rides 22 km and Mei rides 15 km. How far apart are they? Give 1 decimal place.
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Question 8
In triangle ABC, b = 10 cm, c = 5 cm and A = 93°. Find a to 1 decimal place.
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Question 9
Lucia and Ben cycle away from the same café along two straight paths with an angle of 58° between them. Lucia rides 30 km and Ben rides 10 km. How far apart are they? Give 1 decimal place.
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Question 10
In triangle ABC, b = 18 cm, c = 7 cm and A = 41°. Find a to 1 decimal place.
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Question 11
Mateo and Priya cycle away from the same café along two straight paths with an angle of 123° between them. Mateo rides 9 km and Priya rides 16 km. How far apart are they? Give 1 decimal place.
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Question 12
In triangle ABC, b = 11 cm, c = 6 cm and A = 97°. Find a to 1 decimal place.
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Question 13
Tariq and Maya cycle away from the same café along two straight paths with an angle of 116° between them. Tariq rides 23 km and Maya rides 6 km. How far apart are they? Give 1 decimal place.
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Question 14
In triangle ABC, b = 14 cm, c = 20 cm and A = 135°. Find a to 1 decimal place.
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Question 15
Ava and Omar cycle away from the same café along two straight paths with an angle of 84° between them. Ava rides 8 km and Omar rides 18 km. How far apart are they? Give 1 decimal place.
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Question 16
In triangle ABC, b = 12 cm, c = 19 cm and A = 116°. Find a to 1 decimal place.
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