Igcse Model Questions Vol1 2023 Mathematics Question 19

Practice objective / multiple choice question 19 from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Medium Difficulty

Question 19 IGCSE_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

In right‑angled triangle \(ABC\) with \(\angle C = 90^{\circ}\), the hypotenuse \(AB\) is \(10\) cm and side \(AC\) is \(6\) cm. Point \(D\) lies on \(AB\) such that \(AD:DB = 1:2\). Find the length of \(CD\) (express your answer in simplest surd form).

Answer Options

Correct Answer A. 4\sqrt{13}/3

B. 4\sqrt{13}/4

C. 4\sqrt{12}/3

D. 5\sqrt{13}/3

Correct Answer

Correct Option:

4\sqrt{13}/3

About This Question

This is Igcse Model Questions Vol1 2023 Mathematics Question 19. It is one of the objective questions from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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Igcse Model Questions Vol1 2023 Mathematics Question 19

In right‑angled triangle \(ABC\) with \(\angle C = 90^{\circ}\), the hypotenuse \(AB\) is \(10\) cm and side \(AC\) is \(6\) cm. Point \(D\) lies on \(AB\) such that \(AD:DB = 1:2\). Find the length of \(CD\) (express your answer in simplest surd form).

Answer Options

About This Question

Master the Exam!

In right‑angled triangle \(ABC\) with \(\angle C = 90^{\circ}\), the hypotenuse \(AB\) is \(10\) cm and side \(AC\) is \(6\) cm. Point \(D\) lies on \(AB\) such that \(AD:DB = 1:2\). Find the length of \(CD\) (express your answer in simplest surd form).