kai23606 kai23606
  • 15-02-2022
  • Mathematics
contestada

What is the length of YZ in XYZ

What is the length of YZ in XYZ class=

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nktselepov
nktselepov nktselepov
  • 15-02-2022

AZ=12 - is hypotenuse

∠XZY=30° ⇒

[tex]XY=\dfrac{1}{2} \times12=6[/tex]

[tex]\text{By the Pythagorean theorem}\\YZ=\sqrt{12^2-6^2} =\sqrt{(12-6)(12+6)} =\sqrt{6\times18} =\sqrt{108} =6\sqrt{3}[/tex]

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