Neco 2025 Further Mathematics Question 32

Practice objective / multiple choice question 32 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 32 NECO • 2025 • FURTHER_MATHEMATICS • objective

In a right‑angled triangle \(ABC\) with \(\angle C = 90^{\\circ}\), the altitude from \(C\) to the hypotenuse \(AB\) meets \(AB\) at \(D\). If \(\sin \angle A = \frac{3}{5}\) and the altitude length \(CD = 4\\,\\text{cm}\), find (i) the length of the hypotenuse \(AB\) and (ii) the radius \(R\) of the circumcircle of \(\triangle ABC\). Give your answers in centimetres, exact where possible.

Answer Options

A. AB = 8\\,\\text{cm}; R = 4\\,\\text{cm}
B. AB = \\frac{25}{4}\\,\\text{cm}; R = \\frac{25}{8}\\,\\text{cm}
Correct Answer C. AB = \frac{25}{3}\,\text{cm}; R = \frac{25}{6}\,\text{cm}
D. AB = 10\\,\\text{cm}; R = 5\\,\\text{cm}
Correct Answer
C
Correct Option:
AB = \frac{25}{3}\,\text{cm}; R = \frac{25}{6}\,\text{cm}

About This Question

This is Neco 2025 Further Mathematics Question 32. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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