Find x in this 45°-45°-90° triangle
x=?

*answer in radical form*

please explain thoroughly and with clarity, thank you in advance.

Find x in this 454590 triangle x answer in radical form please explain thoroughly and with clarity thank you in advance class=

Respuesta :

hello ,
cos 45 = x/12
x = cos 45 * 12
x = 0,7 * 12
x = 8,4 

The value of x = [tex]6\sqrt{2}[/tex] . Radical form  is 6(2)^1/2.

What is trigonometric ratio?

" Trigonometric ratio is the value of a trigonometric function which is equals to the ratio of the sides of a triangle with respect to any given acute angle."

Formula used

Cosθ = Adjacent side / Hypotenuse

According to the question,

θ = 45°

Adjacent side = x

Hypotenuse = 12

Substitute the value in the formula we get,

cos45° = x / 12

⇒ [tex]\frac{1}{\sqrt{2} } = \frac{x}{12}[/tex]

⇒ x = [tex]\frac{12}{\sqrt{2} }[/tex]

x= 6√2

Radical form is  x= 6(2)^1/2.

Hence the value of x = 6√2 . Radical form  is 6(2)^1/2.

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