Respuesta :

Answer

cos c = 40/41


Step by step explanation

It is a right triangle.

AB^2 + BC^2 = AC^2

9^2 + 40^2 = 41^2

81 + 1600 = 1681

1681 = 1681

Cos C = Opposite/Hypotenuse

Cos C = 40/41             [opposite = 40 and Hypotenuse = 41]

Thank you.

Answer:

[tex]cos c = \frac{40}{41}[/tex]

Step-by-step explanation:

We have a (right-angled) triangle ABC with the following side lengths:

AB=9,

BC=40; and

CA=41.

We are to find the value of cos c. We know that [tex]cos[/tex]∅[tex]= \frac{base}{hypotenuse}[/tex].

In this case, since we have to find the angle c so the AB will be the opposite, BC the base and AC will be the hypotenuse.

[tex]cos c = \frac{BC}{AC}[/tex]

Therefore, [tex]cos c = \frac{40}{41}[/tex]