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Anuta_ua [19.1K]
3 years ago
14

Triangle ABC hac three sides with these lengths: AB=9, BC=40, and CA=41. What is the value of cos c

Mathematics
2 answers:
vredina [299]3 years ago
8 0

<u>Answer:</u>

cos c = \frac{40}{41}

<u>Step-by-step explanation:</u>

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 cos∅= \frac{base}{hypotenuse}.

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.

cos c = \frac{BC}{AC}

Therefore, cos c = \frac{40}{41}

Tomtit [17]3 years ago
3 0

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.

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