Question

triangle ABC ~triangle ADE . if AE=2 cm,EC =3 cm and, DE=1.6cm. then find BC.

Answer 1

Answer:

Step-by-step explanation:

See ths photo added.

Answer 2

Answer:

$BC = 4\:cm$

Step-by-step explanation:

In ∆ABC~∆ADE ,

AE=2 cm , EC=3 cm,

DE=1.6 cm ,

Find BC =?

$\frac{BC}{DE}=\frac{AC}{AE}$

$\implies \frac{BC}{DE}=\frac{AE+EC}{AE}$

$\implies \frac{BC}{1.6}=\frac{2+3}{2}$

$\implies \frac{BC}{1.6}=\frac{5}{2}$

$\implies BC = \frac{5}{2}\times 1.6$

$\implies BC = 5\times 0.8$

$\implies BC = 4\:cm$

Therefore,

$BC = 4\:cm$

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