GCE Mathematics 2025 Objective — Question 36
Question 36 of 60 from the General Certificate of Education (GCE) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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If triangle ABC has sides |AB|=6cm, |BC|=5cm and |AC|=7cm, find cos B.
- A. 1/5Correct
- B. 1/17
- C. 19/33
Explanation
By the cosine rule: |AC|^2 = |AB|^2+|BC|^2-2|AB||BC|cosB: 49=36+25-60cosB, so 60cosB=12, cosB=1/5.
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