julcheryy123432 julcheryy123432

03-08-2021
Mathematics

contestada

Find the length of side
x in simplest radical form with a rational denominator.

Thanks in advance

Find the length of side x in simplest radical form with a rational denominator Thanks in advance class=

Respuesta :

sadovnichenkoant sadovnichenkoant

03-08-2021

Answer:

2*√2

Step-by-step explanation:

You need to use the trigonometrical function of angle (You should use the side sqrt2 and x to find the x). Take any acute angle (for example, 60 degrees)

The cos of this angle is equal to the ratio of adjoined leg (sqrt2) to the hypotenude (the side opposite to right angle, it is x)

cos60degrees= sqrt2/ x

1/2= sqrt2/x

x= 2*sqrt2= 2*√2

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