A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Calculate the length of M' N'. if MN= 8 cm.

6.4 cm

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4.4 cm

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5.4 cm

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none of the above

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Solution

The correct option is A 6.4 cm
$△ L M N$ is reduced to $△ L^{'} M^{'} N^{'}$ ,
Thus, $\frac{M^{'} N^{'}}{M N} = 0.8$
$\Rightarrow \frac{M^{'} N^{'}}{8} = 0.8$
$\Rightarrow M^{'} N^{'} = 0.8 \times 8$
$\Rightarrow M^{'} N^{'} = 6.4$ cm

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A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Then the length of M'N', if MN = 8cm is

A triangle ABC has been enlarged by scale factor k = 2.5 to the triangle A' B' C'.

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