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Question

If ΔABC is similar to ΔDEF such that BC = 3 cm, EF = 4 cm and area of ΔABC=54 cm2. Determine the area of ΔDEF. [4 MARKS]

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Solution

Concept: 1 Mark
Application: 3 Marks

Since the ratio fo areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

Area (ΔABC)Area (ΔDEF)=BC2EF2

54Area (ΔDEF)=3242

Area(ΔDEF)=54×169=96 cm2


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