Neco Model Questions Vol1 2025 Mathematics Question 12

Practice essay / theory question 12 from the 2025 Neco Model Questions Vol1 Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco Model Questions Vol1 2025 Mathematics Essay / Theory
Topics: coordinate geometry trigonometry mensuration
Question 12 NECO_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • essay

In the diagram, triangle ABC is shown. Side AB = 12 cm and lies on the x‑axis with A at the origin (0,0) and B at (12,0). ∠A = 40° and ∠B = 70°.

Question Parts

( a )
Determine the coordinates of point C (to two decimal places).
( b )
Write the equation of the straight line that passes through C and is perpendicular to AB.
( c )
The vertical line from part (b) meets the extension of AB at point D. Find the length CD (to two decimal places).
( d )
Using the coordinates obtained, calculate the area of triangle ABC and verify that it equals \(\frac12 \times AC \times BC \times \sin C\) (give the area to two decimal places).

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About This Question

This is Neco Model Questions Vol1 2025 Mathematics Question 12. It is one of the essay questions from the 2025 Neco Model Questions Vol1 Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

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