Respuesta :
Using the Pythagorean Theorem, it is found that the size of the monitor is of 38 centimetres.
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In a right triangle with legs [tex]l_1[/tex] and [tex]l_2[/tex] and hypotenuse h, these measures are related by the Pythagorean Theorem, given by:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem:
- The diagonal of the rectangle, which is the size of the monitor, is the hypotenuse.
- The width of [tex]w = 30[/tex] and the length of [tex]l = 24[/tex] are the legs, thus:
[tex]s^2 = l^2 + w^2[/tex]
[tex]s^2 = 24^2 + 30^2[/tex]
[tex]s = \sqrt{24^2 + 30^2}[/tex]
[tex]s = 38[/tex]
The size of the monitor is of 38 centimetres.
A similar problem is given at https://brainly.com/question/21691542
