Igcse Model Questions Vol1 2020 Mathematics Question 34

Practice objective / multiple choice question 34 from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Hard Difficulty
Question 34 IGCSE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

In triangle \(ABC\), side \(AB = 13\ \text{cm}\) and side \(AC = 10\ \text{cm}\). The altitude from vertex \(B\) meets \(AC\) at \(D\) with \(AD = 6\ \text{cm}\). Find (a) \(\angle ABC\) to 1\,decimal place, and (b) the area of the triangle (give exact form and a decimal approximation to 1\,decimal place).

Answer Options

A. Angle B = 48.2°, Area = 5√130 cm² (≈57.0 cm²)
B. Angle B = 46.6°, Area = 5√134 cm² (≈58.3 cm²)
C. Angle B = 44.9°, Area = 6√133 cm² (≈69.5 cm²)
Correct Answer D. Angle B = 46.6°, Area = 5√133 cm² (≈57.7 cm²)
Correct Answer
D
Correct Option:
Angle B = 46.6°, Area = 5√133 cm² (≈57.7 cm²)

About This Question

This is Igcse Model Questions Vol1 2020 Mathematics Question 34. It is one of the objective questions from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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