a/sinA = b/sinB: Challenge & Extension
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the sine rule formula a/sinA = b/sinB, with a range of questions from practice to challenge for Grade 6 students.
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a/sinA = b/sinB: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In triangle ABC, side a = 7 cm, angle A = 30°. Find side b using the sine rule.
[3 marks]2.
Given triangle XYZ with sides x = 10 cm, y = 15 cm, and angle X = 45°, calculate angle Y.
[3 marks]3.
In triangle DEF, side d = 9 cm, side e = 12 cm, and angle D = 60°. Find angle E.
[3 marks]4.
Construct a triangle with sides 6 cm, 8 cm, and 10 cm. Label the angles and verify the sine rule.
[4 marks]5.
In triangle GHI, side g = 11 cm, side h = 13 cm, and angle G = 40°. Find side i.
[3 marks]6.
A triangle has sides 5 cm, 9 cm, and the included angle is 70°. Use the sine rule to find the opposite side to the 5 cm side.
[3 marks]7.
In triangle JKL, side j = 8 cm, side k = 6 cm, and angle J = 55°. Find angle K.
[3 marks]8.
A boat sails from point P to Q, 20 km apart. The angle at P between the boat's path and the shoreline is 45°. Use the sine rule to find the boat's direct distance from Q.
[4 marks]9.
A triangle has sides 7 cm and 10 cm with included angle 60°. Use the sine rule to find the length of the third side.
[3 marks]10.
Identify and correct the mistake in the following statement: 'If a/sinA = b/sinB, then side a is always longer than side b.'
[4 marks]11.
Using the sine rule, find side a in a triangle where side b = 8 cm, angle A = 35°, and angle B = 60°.
[3 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet