Geometric proof using coordinates

A question is this type if and only if it asks to prove geometric properties (e.g., perpendicularity, circle diameter, equal lengths) using coordinate geometry and algebraic calculations.

1 questions · Challenging +1.2

1.01a Proof: structure of mathematical proof and logical steps
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AQA AS Paper 1 2020 June Q9
5 marks Challenging +1.2
The diagram below shows a circle and four triangles.
[diagram]
\(AB\) is a diameter of the circle. \(C\) is a point on the circumference of the circle. Triangles \(ABK\), \(BCL\) and \(CAM\) are equilateral. Prove that the area of triangle \(ABK\) is equal to the sum of the areas of triangle \(BCL\) and triangle \(CAM\). [5 marks]