devanconnor12 devanconnor12
  • 04-03-2021
  • Mathematics
contestada

ellus
What is the measure of z?
4
16
z
X
Z =
✓ [?]

ellus What is the measure of z 4 16 z X Z class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 04-03-2021

Answer:

[tex] z=\sqrt{80} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex] y= \sqrt {16\times 4}[/tex]

[tex] y= \sqrt {64}[/tex]

[tex] y= 8[/tex]

By Pythagoras Theorem:

[tex] z=\sqrt{4^2 +8^2} [/tex]

[tex] z=\sqrt{16 + 64} [/tex]

[tex] z=\sqrt{80} [/tex]

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