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Brenda is buying a computer monitor that is 25 centimeters tall and has a distance of 65
centimeters between opposite corners. What is the width of Brenda's new monitor?
centimeters

Respuesta :

mhanifa

Answer:

  • 60 cm

Step-by-step explanation:

Use Pythagorean.

The width and height are the legs and the diagonal is the hypotenuse of the right triangle.

  • [tex]w = \sqrt{d^2-h^2}[/tex]
  • [tex]w = \sqrt{65^2-25^2} =\sqrt{4225-625} =\sqrt{3600} =60[/tex]

Look at the diagram and apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow x^2=65^2-25^2[/tex]

[tex]\\ \tt\hookrightarrow x^2=4225-625[/tex]

[tex]\\ \tt\hookrightarrow x^2=3600[/tex]

[tex]\\ \tt\hookrightarrow x=60cm[/tex]

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