Respuesta :

frika

Answer:

[tex]a=\dfrac{16}{3}\ un.[/tex]

Step-by-step explanation:

In right triangle XZW, the height WY is the geometric mean of segments ZY and XY.

Hence,

[tex]WY^2 =ZY\cdot XY,\\ \\4^2=3\cdot a,\\ \\a=\dfrac{16}{3}\ un.[/tex]

abidemiokin

The value of a is 16/3

To get the value of "a", we will use the expression;

[tex]ZY \times YX = WY^2[/tex]

Given the following values:

[tex]ZY=3\\YX = a\\WY = 4[/tex]

Substitute the given parameters into the expression:

[tex]3 \times = 4 \times 4\\3a = 16\\a=\frac{16}{3}\\\\[/tex]

Hence the value of a is 16/3

Learn more here: https://brainly.com/question/23961310

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