Gce Model Questions Vol1 2017 Mathematics Question 12

Practice essay / theory question 12 from the 2017 Gce Model Questions Vol1 Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Gce Model Questions Vol1 2017 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 GCE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • essay

In the diagram, triangle ABC is drawn in a Cartesian plane. Vertex A is placed at the origin O and side AB lies along the positive x‑axis. ∠A = 40°, ∠B = 70° and AB = 8 cm.

Question Parts

( a )

Calculate the length of side BC. Give your answer correct to two decimal places.

( b )

Determine the coordinates of vertex C. Express each coordinate to two decimal places.

( c )

Find the equation of the line through B and C in the form y = mx + c. Give m and c correct to two decimal places.

( d )

Using the results above, calculate the area of triangle ABC. Give your answer to two decimal places.

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About This Question

This is Gce Model Questions Vol1 2017 Mathematics Question 12. It is one of the essay questions from the 2017 Gce Model Questions Vol1 Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Gce Model Questions Vol1 2017 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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