HyperPro195
HyperPro195 HyperPro195
  • 14-07-2020
  • Mathematics
contestada

help with this I don't know how to solve.

help with this I dont know how to solve class=

Respuesta :

Preussischer
Preussischer Preussischer
  • 14-07-2020

Answer:

The answer is [tex]\sqrt{105}[/tex] or approx. 10,25.

Step-by-step explanation:

[tex]EG^2=DG*GF \\ EG^2 = ab \\ EG = \sqrt{5*16} \\ EG = \sqrt{80}[/tex]

Now let's find EF.

[tex]EF^2 = GE^2+GF^2 \\ EF^2 = 80+256\\ EF=\sqrt{336}[/tex]

Now let's finally find DE.

[tex]DE = \sqrt{DF^2-EF^2} \\ DE = \sqrt{21^2-336} \\ DE = \sqrt{441-336} \\ DE=\sqrt{105}[/tex]

[tex]\sqrt{105} = 10,2469... = 10,25[/tex]

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