Igcse Model Questions Vol1 2022 Mathematics Question 23

Practice objective / multiple choice question 23 from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 23 IGCSE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • objective

In triangle \(PQR\) the side opposite \(R\) has length \(PQ=12\) cm, the side opposite \(Q\) has length \(PR=10\) cm and \(\angle Q =30^{\circ}\). (i) Find the two possible measures of \(\angle R\) (to one decimal place). (ii) For each possible \(\angle R\) determine the length of side \(QR\). (iii) Calculate the area of the triangle for the case in which \(\angle R\) is obtuse. Give the area to two decimal places.

Answer Options

A. Angle R: 38.5° or 141.5°; QR: 18.0 cm (acute) or 2.50 cm (obtuse); area (obtuse case): 7.00 cm²
Correct Answer B. Angle R: 36.9° or 143.1°; QR: 18.4 cm (acute) or 2.39 cm (obtuse); area (obtuse case): 7.18 cm²
C. Angle R: 40.2° or 139.8°; QR: 17.6 cm (acute) or 2.75 cm (obtuse); area (obtuse case): 6.95 cm²
D. Angle R: 35.0° or 145.0°; QR: 19.0 cm (acute) or 2.20 cm (obtuse); area (obtuse case): 7.45 cm²
Correct Answer
B
Correct Option:
Angle R: 36.9° or 143.1°; QR: 18.4 cm (acute) or 2.39 cm (obtuse); area (obtuse case): 7.18 cm²

About This Question

This is Igcse Model Questions Vol1 2022 Mathematics Question 23. It is one of the objective questions from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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