A) \[\text{14 m}\]
B) \[\frac{50}{7}\text{ m}\]
C) \[\text{12 m}\]
D) \[\text{7 m}\]
Correct Answer: A
Solution :
As triangles ABC and DEF are similar, so their, sides are proportional. |
\[\therefore \,\,\,\,\,\,\,\,\,\frac{AB}{DE}=\frac{AC}{DF}=\frac{BC}{EF}\,\,\,\Rightarrow \,\,\frac{AB}{DE}=\frac{BC}{EF}\]\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\frac{15}{10}=\frac{21}{EF}\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,EF=\frac{10\times 21}{15}=14\,m\] |
So, option [a] is correct. |
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