Use ½ab sin C to find a side or an angle
11th grade (Year 12 in England) · 16 questions · Common Core: HSG.SRT.D.9 · England: GCSE Higher Geometry
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Date
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Question 1
A triangle has area 104.1 cm², one side of 17 cm and an included angle of 61°. Find the other side next to that angle, to the nearest cm.
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Question 2
A triangle has sides 8 cm and 7 cm with an acute angle θ between them. Its area is 22.7 cm². Find θ to 1 decimal place.
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Question 3
A triangle has area 47.6 cm², one side of 6 cm and an included angle of 69°. Find the other side next to that angle, to the nearest cm.
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Question 4
A triangle has sides 11 cm and 10 cm with an acute angle θ between them. Its area is 48.6 cm². Find θ to 1 decimal place.
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Question 5
A triangle has area 21.2 cm², one side of 12 cm and an included angle of 36°. Find the other side next to that angle, to the nearest cm.
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Question 6
A triangle has sides 19 cm and 16 cm with an acute angle θ between them. Its area is 76 cm². Find θ to 1 decimal place.
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Question 7
A triangle has area 51.9 cm², one side of 7 cm and an included angle of 112°. Find the other side next to that angle, to the nearest cm.
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Question 8
A triangle has sides 14 cm and 20 cm with an acute angle θ between them. Its area is 122.4 cm². Find θ to 1 decimal place.
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Question 9
A triangle has area 54.2 cm², one side of 13 cm and an included angle of 112°. Find the other side next to that angle, to the nearest cm.
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Question 10
A triangle has sides 15 cm and 15 cm with an acute angle θ between them. Its area is 88.7 cm². Find θ to 1 decimal place.
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Question 11
A triangle has area 49.1 cm², one side of 10 cm and an included angle of 125°. Find the other side next to that angle, to the nearest cm.
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Question 12
A triangle has sides 16 cm and 5 cm with an acute angle θ between them. Its area is 24.6 cm². Find θ to 1 decimal place.
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Question 13
A triangle has area 152.7 cm², one side of 19 cm and an included angle of 71°. Find the other side next to that angle, to the nearest cm.
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Question 14
A triangle has sides 10 cm and 18 cm with an acute angle θ between them. Its area is 68.9 cm². Find θ to 1 decimal place.
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Question 15
A triangle has area 27.1 cm², one side of 9 cm and an included angle of 138°. Find the other side next to that angle, to the nearest cm.
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Question 16
A triangle has sides 9 cm and 15 cm with an acute angle θ between them. Its area is 56 cm². Find θ to 1 decimal place.
Answer
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