Gce Model Questions Vol1 2025 Mathematics Question 42

Practice objective / multiple choice question 42 from the 2025 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Hard Difficulty

Question 42 GCE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

In triangle \(ABC\) the sides \(AB\) and \(AC\) are 13 cm and 15 cm respectively. The incircle touches side \(BC\) at \(D\) and the segment \(BD\) measures 6 cm. Find the length of side \(BC\) and the radius of the incircle.

Answer Options

A. BC = 16 cm; radius = 5 cm

B. BC = 12 cm; radius = 3 cm

Correct Answer C. BC = 14 cm; radius = 4 cm

D. BC = 13 cm; radius = 4.5 cm

Correct Answer

Correct Option:

BC = 14 cm; radius = 4 cm

About This Question

This is Gce Model Questions Vol1 2025 Mathematics Question 42. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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Gce Model Questions Vol1 2025 Mathematics Question 42

In triangle \(ABC\) the sides \(AB\) and \(AC\) are 13 cm and 15 cm respectively. The incircle touches side \(BC\) at \(D\) and the segment \(BD\) measures 6 cm. Find the length of side \(BC\) and the radius of the incircle.

Answer Options

About This Question

Master the Exam!

In triangle \(ABC\) the sides \(AB\) and \(AC\) are 13 cm and 15 cm respectively. The incircle touches side \(BC\) at \(D\) and the segment \(BD\) measures 6 cm. Find the length of side \(BC\) and the radius of the incircle.