ayressgoss ayressgoss
  • 04-04-2018
  • Mathematics
contestada

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

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obenam obenam
  • 14-04-2018
Since the similarity ratio is 43, then:
[tex]AB=43\times DE\\\text{ then:}\\ DE=\dfrac{AB}{43}=\dfrac{60}{43}[/tex]
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Riia
Riia Riia
  • 23-08-2018

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

[tex] = \frac{4}{3} [/tex]

Let DE = x

, And we will get

[tex] \frac{AB}{DE} = \frac{4}{3}
\\
\frac{60}{DE} = \frac{4}{3}
\\
DE = 60* \frac{3}{4} = 45 [/tex]

Therefore the length of DE is 45.

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