aprilcruz2003
aprilcruz2003 aprilcruz2003
  • 14-06-2020
  • Mathematics
contestada

What is the value of a?

What is the value of a class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 14-06-2020

Answer:

2nd option is the correct answer.

[tex] 5\frac{1}{3}\: units[/tex]

Step-by-step explanation:

[tex] In\:\triangle XWZ, \: \angle XWZ= 90°

\\ \: \&\: WY \perp XZ\\[/tex]

Therefore, by geometric mean postulate:

[tex] WY^2 = XY\times YZ\\

\therefore 4^2 = 3\times a\\

\therefore 16 = 3a

\therefore a = \frac{16}{3}\\\\

\huge \red {\boxed {\therefore a = 5\frac{1}{3}\: units}} [/tex]

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