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HomeCXC CSEC MathematicsTrigonometry: Area of a triangle using the formula ½ab sin C
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Trigonometry: Area of a triangle using the formula ½ab sin C
Practice Questions

20 CXC CSEC Mathematics questions on Trigonometry: Area of a triangle using the formula ½ab sin C, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Trigonometry: Area of a triangle using the formula ½ab sin C

Question 1 · 1 mark · Difficulty 1/3

In the formula for the area of a triangle, Area = ½ab sin C, what does the angle C represent?

  1. Any angle in the triangle
  2. The largest angle in the triangle
  3. The angle included between sides a and b
  4. The angle opposite to side a
Show answer & explanation
✓ Answer: CThe angle included between sides a and b
Award 1 mark for identifying that C must be the angle formed between the two known sides. A is incorrect — not any angle can be used; it must be the included angle. B is incorrect — the formula does not require the largest angle. D is incorrect — this describes an angle that would not be between sides a and b.
Question 2 · 1 mark · Difficulty 2/3

A farmer in Guyana is fencing a triangular plot of land. Two sides measure 45 m and 60 m, and the angle between them is 30°. What is the area of the plot?

  1. 675 m²
  2. 1350 m²
  3. 2700 m²
  4. 1170 m²
Show answer & explanation
✓ Answer: A675 m²
Award 1 mark for correct substitution into Area = ½ab sin C = ½ × 45 × 60 × sin 30° = ½ × 45 × 60 × 0.5 = 675 m². B is incorrect — this is the result without the ½ factor. C is incorrect — this omits both the ½ factor and uses sin 30° = 1. D is incorrect — this uses an incorrect value for sin 30°.
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CXC CSEC Mathematics: Trigonometry: Area of a triangle using the formula ½ab sin C FAQ

How many CXC CSEC Mathematics questions on Trigonometry: Area of a triangle using the formula ½ab sin C are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Trigonometry: Area of a triangle using the formula ½ab sin C for CXC CSEC Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Trigonometry: Area of a triangle using the formula ½ab sin C practice with other Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Trigonometry: Area of a triangle using the formula ½ab sin C questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Trigonometry: Area of a triangle using the formula ½ab sin C typically tested on CXC CSEC Mathematics papers?
Trigonometry: Area of a triangle using the formula ½ab sin C appears across multiple question types on real CXC CSEC Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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