Question

∆abc~∆def if ab=4cm,bc=3.5cm,ca=2.5cm and df=7.5cm find the perimeter of ∆def

Answer 1

∆ABC IS Similar to ∆DEF

$\frac{ab}{de} = \frac{bc}{ef} = \frac{ac}{df}$
$\frac{4}{de} = \frac{3.5}{ef} = \frac{2.5}{7.5}$
$\frac{4}{de} = \frac{2.5}{7.5}$
$\frac{4}{de} = \frac{1}{3}$
$de = 12cm$
Similarly
$\frac{3.5}{ef} = \frac{1}{3}$
ef= 3.5 * 3

$ef = 10.5cm$
Perimeter of ∆ DEF = DE+EF+DF
=12+10.5+7.5
= 30 cm

Answer 2

❥ʜᴇɴᴄᴇ,ʏᴏᴜʀ ᴀɴsᴡᴇʀ ɪs 30 ᴄᴍ.

❣ᴏᴋ❣