Question

Triangle ABC ~ triangle DEF and the similarity ratio of triangle ABC to triangle DEF is 43 . If AB = 60, what is DE?

Answer 1

Since the similarity ratio is 43, then:
$AB=43\times DE\\\text{ then:}\\ DE=\dfrac{AB}{43}=\dfrac{60}{43}$

Answer 2

It is given in the question that , Triangle ABC ~ triangle DEF , and the similarity ratio is

$= \frac{4}{3}$

Let DE = x

, And we will get

$\frac{AB}{DE} = \frac{4}{3} \\ \frac{60}{DE} = \frac{4}{3} \\ DE = 60* \frac{3}{4} = 45$

Therefore the length of DE is 45.