Non-Right-Angled Triangles — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[3](a)In triangle ABC, a = 8 cm, angle A = 40°, angle B = 65°. Use the sine rule to find side b.

Question 2

[3](a)In triangle ABC, a = 7 cm, b = 9 cm, angle C = 55°. Use the cosine rule to find side c.

Question 3

[2](a)Using the same triangle (a = 7 cm, b = 9 cm, angle C = 55°), calculate its area.

Question 4

[3](a)In triangle ABC, a = 10 cm, angle B = 50°, angle C = 70°. Find angle A, then use the sine rule to find side b.

Question 5

[3](a)In triangle ABC, a = 8 cm, b = 10 cm, c = 13 cm. Use the cosine rule to find angle C.

Question 6

[2](a)Using the same triangle (a=8, b=10, C found above), calculate its area.

Question 7

[1](a)State when the sine rule should be used instead of the cosine rule.

Question 8

[3](a)In triangle ABC, a = 6 cm, b = 9 cm, angle C = 40°. Use the cosine rule to find side c.

Question 9

[3](a)In triangle ABC, a = 7 cm, b = 8 cm, c = 9 cm. Use the cosine rule to find angle A.

Question 10

[1](a)State the cosine rule formula for finding a side, given two sides and the included angle.

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