Question

please anawer i will mark u as brainslist​

Answer 1

$\begin{gathered}\begin{gathered}\bf \: Given - \begin{cases} &\sf{ \triangle \: ABC \: \sim \: \triangle \: DEF} \\ &\sf{AB : DE = 5 : 3}\\ &\sf{AC = 12 \: cm} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf \:To\: find - \begin{cases} &\sf{DF}  \end{cases}\end{gathered}\end{gathered}$

$\large\underline\purple{\bold{Solution :- }}$

As it is given that

$\tt \longmapsto\: \triangle \: ABC \: \sim \: \triangle \: DEF$

So,

$\rm :\implies\:\dfrac{AB}{DE} = \dfrac{AC}{DF}$

$\rm :\implies\:\dfrac{5}{3} = \dfrac{12}{DF}$

$\rm :\implies\: \: \boxed{ \green{ \bf \: DF = \dfrac{36}{5} \: cm }}$