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Answered

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calcula la longitud de la variable "x"​​

Calcula La Longitud De La Variable X class=

Sagot :

xero099

Answer:

La longitud de [tex]x[/tex] es [tex]5\sqrt{2}[/tex] unidades.

Step-by-step explanation:

La figura es un cuadrado atravesado por una diagonal, significando que existen dos triángulos rectángulos, cuyos ángulos interiores son 45°, 45° y 90°, respectivamente. Por Geometría Euclideana, tenemos que la longitud de la hipotenusa es igual a [tex]\sqrt{2}[/tex] veces la longitud de cualquiera de sus catetos:

[tex]x = \frac{10}{\sqrt{2}}[/tex]

[tex]x = 5\sqrt{2}[/tex]

La longitud de [tex]x[/tex] es [tex]5\sqrt{2}[/tex] unidades.

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