Gce Model Questions Vol1 2021 Further Mathematics Question 30

Practice objective / multiple choice question 30 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 30 GCE_MODEL_QUESTIONS_VOL1 • 2021 • FURTHER_MATHEMATICS • objective

In triangle \(ABC\) the sides opposite the angles \(A,B,C\) are denoted by \(a,b,c\) respectively. Given \(a=7\), \(b=9\) and \(\angle C =45^{\circ}\), (i) find the length of side \(c\); (ii) find the radius \(R\) of the circumcircle of the triangle.

Answer Options

A. c = \sqrt{130-63} \;(≈7.81), \; R = \sqrt{\frac{130-63}{2}} \;(≈5.38)

B. c = \sqrt{130-63\sqrt2} \;(≈6.40), \; R = \frac{\sqrt{130-63\sqrt2}}{2} \;(≈3.20)

Correct Answer C. c = \sqrt{130-63\sqrt2} \;(≈6.40), \; R = \sqrt{\frac{130-63\sqrt2}{2}} \;(≈4.53)

D. c = \sqrt{130+63\sqrt2} \;(≈13.86), \; R = \sqrt{\frac{130+63\sqrt2}{2}} \;(≈9.79)

Correct Answer

Correct Option:

c = \sqrt{130-63\sqrt2} \;(≈6.40), \; R = \sqrt{\frac{130-63\sqrt2}{2}} \;(≈4.53)

About This Question

This is Gce Model Questions Vol1 2021 Further Mathematics Question 30. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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