Question

# ΔABC∼ΔDEF such that ar (ΔABC) = 64 cm2 and ar (ΔDEF)=169cm2. If BC = 4 cm, find EF.

Solution

## Since triangle ABC is similar to triangle DEF.  Therefore(Area△ABC)(Area△DEF)=BC2EF2  Because the ratio of area of two similar triangles is equal to the ratio of square of their corresponding sides.  64169=42EF    6∗16964                                                                        EF = 42.25 cm

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