Neco 2020 Further Mathematics Question 50

Practice objective / multiple choice question 50 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 50 NECO • 2020 • FURTHER_MATHEMATICS • objective

In a right‑angled triangle \(ABC\) with \(\angle C = 90^{\circ}\), the altitude from \(C\) meets the hypotenuse \(AB\) at \(D\). If \(AD = 6\,\text{cm}\) and \(DB = 4\,\text{cm}\), find \(\tan \frac{\angle A}{2}\) expressed in simplest surd form.

Answer Options

A. (sqrt(5)-sqrt(3))/2
Correct Answer B. (sqrt(10)-sqrt(6))/2
C. (sqrt(10)+sqrt(6))/2
D. (sqrt(10)-sqrt(6))/4
Correct Answer
B
Correct Option:
(sqrt(10)-sqrt(6))/2

About This Question

This is Neco 2020 Further Mathematics Question 50. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Medium .

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