Respuesta :

The answer is C, √(2).

cosC = 5/(5√2)

5/5 is equal to 1, so they cancel each other out to leave just √2.

The simplified form of cos C is sqrt(2)/2.

What is cos ?

"Cos is the cosine function of a right triangle in trigonometry. Cos function is the ratio of adjacent side and hypotenuse. It helps us to find the length of the sides of the triangle, irrespective of given angle.

Suppose we have a right triangle and α is the angle between adjacent side and hypotenuse, then as per the cos function, we can write

Cos α = Adjacent Side/Hypotenuse"

Here, given the base of the triangle is = 5

and hypotenuse is = 5sqrt2

So, [tex]cos C = 5/5\sqrt2 = 1/\sqrt2[/tex]

Multiplying both numerator and denominator by sqrt2

We get [tex]\sqrt2/2[/tex].

Hence, the value of cos C is [tex]\sqrt2/2[/tex]

To know more about cos here

https://brainly.com/question/2193114

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