Gce Model Questions Vol1 2018 Mathematics Question 12

Practice essay / theory question 12 from the 2018 Gce Model Questions Vol1 Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Gce Model Questions Vol1 2018 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

In the diagram, triangle ABC is shown. Side AB has length 12 cm and lies on the positive x‑axis of a Cartesian coordinate system with A at the origin O(0,0) and B at (12,0). The interior angles at A and B are 45° and 55° respectively. The triangle is placed as described.

Question Parts

( a )

Find the coordinates of point C. Give each coordinate correct to two decimal places.

( b )

Using the coordinates obtained in part (a), write the equation of line AC in the form y = mx + c, stating the values of m and c to two decimal places where required.

( c )

Calculate the area of triangle ABC in square centimetres, giving your answer correct to two decimal places.

( d )

Let D be the foot of the perpendicular from C to AB. Find the coordinates of D and the length CD, both correct to two decimal places.

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About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 12. It is one of the essay questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Gce Model Questions Vol1 2018 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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