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
Name
Date
Score/ 16
Question 1
A triangle has sides 5 cm and 20 cm with an acute angle θ between them. Its area is 37.2 cm². Find θ to 1 decimal place.
Answer
Question 2
A triangle has area 32 cm², one side of 8 cm and an included angle of 88°. Find the other side next to that angle, to the nearest cm.
Answer
Question 3
A triangle has sides 9 cm and 16 cm with an acute angle θ between them. Its area is 62.4 cm². Find θ to 1 decimal place.
Answer
Question 4
A triangle has area 26.1 cm², one side of 16 cm and an included angle of 33°. Find the other side next to that angle, to the nearest cm.
Answer
Question 5
A triangle has sides 8 cm and 12 cm with an acute angle θ between them. Its area is 18 cm². Find θ to 1 decimal place.
Answer
Question 6
A triangle has area 43 cm², one side of 15 cm and an included angle of 55°. Find the other side next to that angle, to the nearest cm.
Answer
Question 7
A triangle has sides 18 cm and 16 cm with an acute angle θ between them. Its area is 96.4 cm². Find θ to 1 decimal place.
Answer
Question 8
A triangle has area 57.3 cm², one side of 14 cm and an included angle of 39°. Find the other side next to that angle, to the nearest cm.
Answer
Question 9
A triangle has sides 11 cm and 13 cm with an acute angle θ between them. Its area is 66.3 cm². Find θ to 1 decimal place.
Answer
Question 10
A triangle has area 76.7 cm², one side of 14 cm and an included angle of 66°. Find the other side next to that angle, to the nearest cm.
Answer
Question 11
A triangle has sides 9 cm and 12 cm with an acute angle θ between them. Its area is 53.6 cm². Find θ to 1 decimal place.
Answer
Question 12
A triangle has area 79.9 cm², one side of 10 cm and an included angle of 70°. Find the other side next to that angle, to the nearest cm.
Answer
Question 13
A triangle has sides 18 cm and 19 cm with an acute angle θ between them. Its area is 95.6 cm². Find θ to 1 decimal place.
Answer
Question 14
A triangle has area 24.5 cm², one side of 4 cm and an included angle of 46°. Find the other side next to that angle, to the nearest cm.
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Question 15
A triangle has sides 17 cm and 16 cm with an acute angle θ between them. Its area is 128.6 cm². Find θ to 1 decimal place.
Answer
Question 16
A triangle has area 41.8 cm², one side of 10 cm and an included angle of 40°. Find the other side next to that angle, to the nearest cm.
Answer
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