Two systems of similar triangles

Two systems of similar triangles

Secondary 2
8 marks
TGM Original Questions

Optional extension

In the figure, \(DE\parallel KH\parallel GF\); \(D,H,G\) and \(E,H,F\) are straight lines. Given \(EH=10\) cm, \(HF=5\) cm, \(DE=18\) cm and \(EK=8\) cm:

    1. name a triangle similar to \(HGF\),[2]
    2. find \(FG\)[2]
    1. name a triangle similar to \(EHK\),[2]
    2. find \(KG\).[2]

Solution:

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Answer:(a)(i) \(\triangle HDE\) (ii) \(9\text{ cm}\) (b)(i) \(\triangle EFG\) (ii) \(4\text{ cm}\)

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