Question

if triangle ABC similar to triangle DEF and their 64cm and 121cm .if EF=15.4cm.find BC

Answer 1

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Given:-
∆ABC~ ∆DEF

and ,

$\bold{ \frac{ar(abc)}{ar(def)}} = \frac{bc}{ef}$



$\bold{ \frac{64}{121}} = \frac{ {(BC)}^{2} }{ {(15.4)}^{2} }$



$\bold{ \sqrt{ \frac{64}{121} }= \frac{bc}{15.4}}$



$\bold{ \frac{8}{11} = \frac{bc}{15.4}}$




$\bold{11bc = 8 \times 15.4}$



$\bold{bc = \frac{8 \times 15.4}{11}}$



$\bold{bc = \frac{123.2}{11} = 11.2}$



$\huge{bc = 11.2}$