NABTEB Mathematics 2025 Objective — Question 36

Question 36 of 60 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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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