A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Calculate the length of LM, if L' M'= 5.4 cm.

6.75 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5.75 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6.25 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of the above

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 6.75 cm
$△ L M N$ is reduced to $△ L^{'} M^{'} N^{'}$ ,
Thus, $\frac{L^{'} M^{'}}{L M} = 0.8$
$\Rightarrow \frac{5.4}{L M} = 0.8$
$\Rightarrow L M = \frac{5.4}{0.8}$
$\Rightarrow L M = 6.75$ cm

Suggest Corrections

Similar questions

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'.

Calculate:

(i) the length of AB, if A' B' = 6cm.

(ii) the length of C'A' if CA= 4cm.

Join BYJU'S Learning Program