A Study of Similar Triangles: From Scale Factors to Area Comparisons
A Study of Similar Triangles: From Scale Factors to Area Comparisons
Secondary 3
In the diagram, \(DC = 8\text{ cm}\), \(BD = 2\text{ cm}\) and \(BA\) is parallel to \(DE\).
Find
- the value of \(\frac{DE}{BA}\) .
- area of \(\Delta ABC\) : area of \(\Delta EDC\) .
- area of \(\Delta ABC\) : area of quadrilateral \(ABDE\) .
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Answer:\(\text{(i)}\ \dfrac{4}{5}\) \(\text{(ii)}\ 25:16\) \(\text{(iii)}\ 25:9\)
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