| Exam Board | AQA |
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| Module | AS Paper 1 (AS Paper 1) |
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| Year | 2020 |
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| Session | June |
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| Topic | Proof |
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9 The diagram below shows a circle and four triangles.
\includegraphics[max width=\textwidth, alt={}, center]{091aecd0-d812-4a8f-8596-a1c91f3bae1c-12_974_739_356_648}
\(A B\) is a diameter of the circle. \(C\) is a point on the circumference of the circle.
Triangles \(A B K , B C L\) and \(C A M\) are equilateral.
Prove that the area of triangle \(A B K\) is equal to the sum of the areas of triangle \(B C L\) and triangle CAM.