Igcse Model Questions Vol1 2025 Mathematics Question 40

Practice objective / multiple choice question 40 from the 2025 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Hard Difficulty
Question 40 IGCSE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

In triangle \(ABC\), side \(a = BC = 14\) cm, side \(b = AC = 13\) cm, and \(\angle C = 120^{\circ}\). (i) Find the length of side \(c = AB\). (ii) Calculate the area of the triangle (give your answer to one decimal place). (iii) Determine the radius of the circumcircle of the triangle (give your answer to one decimal place).

Answer Options

A. c = √560 cm (≈23.67 cm), area ≈ 80.0 cm^2, circumradius ≈ 13.0 cm
B. c = √600 cm (≈24.49 cm), area ≈ 82.5 cm^2, circumradius ≈ 14.2 cm
C. c = √525 cm (≈22.91 cm), area ≈ 75.0 cm^2, circumradius ≈ 12.8 cm
Correct Answer D. c = √547 cm (≈23.38 cm), area ≈ 78.8 cm^2, circumradius ≈ 13.5 cm
Correct Answer
D
Correct Option:
c = √547 cm (≈23.38 cm), area ≈ 78.8 cm^2, circumradius ≈ 13.5 cm

About This Question

This is Igcse Model Questions Vol1 2025 Mathematics Question 40. It is one of the objective questions from the 2025 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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