Lukecharsley217 Lukecharsley217
  • 26-01-2020
  • Mathematics
contestada

Find the size of angle YZX

Give your answer to 3 significant figures

Scroll down to see the shape

Find the size of angle YZXGive your answer to 3 significant figures Scroll down to see the shape class=

Respuesta :

frika
frika frika
  • 01-02-2020

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

[tex]XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm[/tex]

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