cherylp232000 cherylp232000
  • 02-02-2021
  • Mathematics
contestada

Find the missing length indicated. Leave your answer in simplest radical form.
Please help! Thank you!

Find the missing length indicated Leave your answer in simplest radical form Please help Thank you class=

Respuesta :

eudora eudora
  • 07-02-2021

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   [tex]\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}[/tex]

   56x = (18√14)²

   56x = 4536

   x = [tex]\frac{4536}{56}[/tex]

   x = 81

2). By applying geometric mean theorem,

    [tex]\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}[/tex]

    16x = (8√21)²

    16x = 1344

    x = [tex]\frac{1344}{16}[/tex]

   x = 84

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