2024 IGCSE Additional Mathematics February/March 0606/22 Q2

2024 IGCSE Additional Mathematics February/March 0606/22 Q2

4 marks

DO NOT USE A CALCULATOR IN THIS QUESTION.

In this question all lengths are in centimetres.

The diagram shows two similar triangles.

The height of the smaller triangle is \(1+7\sqrt5\) and the height of the larger triangle is \(a+b\sqrt5\), where \(a\) and \(b\) are integers.

Find the values of \(a\) and \(b\).[4]

Solution:

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Answer:\(a=330,\ b=-130\)

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