Gce Model Questions Vol1 2022 Mathematics Question 12

Practice essay / theory question 12 from the 2022 Gce Model Questions Vol1 Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Gce Model Questions Vol1 2022 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 GCE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

In the diagram, triangle ABC is a non‑right triangle. Angle A measures 40°, angle B measures 70°, and side AB is 12 cm. Point D lies on side BC such that BD : DC = 1 : 2. The triangle is drawn on a coordinate plane with point A at the origin and side AB lying on the positive x‑axis.

Question Parts

( a )

Determine the lengths of sides AC and BC. Give your answers to two decimal places.

( b )

Using the placement described, find the coordinates of points A, B and C. Give coordinates to two decimal places.

( c )

Find the equation of the line CD in the form y = mx + c, correct to two decimal places.

( d )

Calculate the length of AD. Give your answer to two decimal places.

( e )

Find the area of triangle ABD. Give your answer to two decimal places.

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About This Question

This is Gce Model Questions Vol1 2022 Mathematics Question 12. It is one of the essay questions from the 2022 Gce Model Questions Vol1 Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Gce Model Questions Vol1 2022 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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