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  • 16-04-2020
  • Mathematics
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In the right triangle shown, DF=EF=3. How long is DE

Respuesta :

calculista
calculista calculista
  • 23-04-2020

Answer:

[tex]DE=3\sqrt{2}\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

In this problem we have an isosceles right triangle (because has two equal sides)

so

Applying the Pythagorean theorem

[tex]DE^2=DF^2+EF^2[/tex]

substitute the given values

[tex]DE^2=3^2+3^2[/tex]

[tex]DE^2=18\\DE=3\sqrt{2}\ units[/tex]

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