Unit 3: Geometry and Trigonometry
Topic 3.2: Trigonometry: Right and Non-Right Triangles Questions
Practice 20 exam-style questions for IB Math AI SL Topic 3.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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A right triangle has hypotenuse 13 and adjacent 5. Find the angle θ at the vertex adjacent to Adj.
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In a right triangle, θ = 15° and Adj = 30. Find Opp.
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In a right triangle, θ = 41°, opposite = 7. Find the hypotenuse.
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In a right triangle, θ = 55° and adjacent = 12. Find the hypotenuse.
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In triangle PQR, angle P = 38°, angle Q = 72°, and side p = 10 cm. Find side q (to 3 s.f.).
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A right triangle has Opp = Adj = 4. Find θ.
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A right triangle has hypotenuse 25 cm and one leg 7 cm. Find the other leg.
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In a right triangle, θ = 25°, hypotenuse = 20. Find Opp and Adj.
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In triangle ABC, a = 8 cm, b = 11 cm and the included angle C = 47°. Find side c.
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In a right triangle, Opp = 3, Hyp = 5. Find θ.
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In a right triangle, θ = 35°, hypotenuse = 12 cm. Find the opposite side.
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In a right triangle, θ = 50°, hypotenuse = 8 cm. Find the adjacent side.
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In a right triangle, θ = 28°, adjacent = 9 cm. Find the opposite side.
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A right triangle has Opp = 1 and Hyp = 2. Find θ.
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A triangle has two sides 14 cm and 9 cm with included angle 35°. Find its area.
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A right triangle has legs 9 cm and 12 cm. Find the hypotenuse.
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In a right triangle, Opp = 6 cm and Hyp = 10 cm. Find angle θ.
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In a right triangle, Adj = 8 cm and Hyp = 17 cm. Find θ.
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In a right triangle, Opp = 12, Adj = 5. Find θ.
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In a right triangle, Adj = 9, Opp = 5. Find Hyp.
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