Two systems of similar triangles

Two systems of similar triangles

Secondary 2
TGM Original Questions

In the figure, \(DE\parallel KH\parallel GF\); \(D,H,G\) and \(E,H,F\) are straight lines. Given \(EH=8\) cm, \(HF=4\) cm, \(DE=12\) cm and \(EK=6\) cm:

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

Solution:

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Answer:(a)(i) \(\triangle HDE\); (ii) \(6\) cm; (b)(i) \(\triangle EFG\); (ii) \(3\) cm.

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