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Artemon [7]
3 years ago
12

Use the Law of Cosines to determine the length of the third side of the triangle.

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

<u>Corrected Question</u>

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of 35^\circ. Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of 35^\circ.

Using Law of Cosines

a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm

The correct option is D.

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