Correct + best explained answer gets brainlest (50 points) given any triangle abc with corresponding side lengths a, b, and c, the law of cosines states: a. c^2 = a^2 + b^2 - 2abcos(c) b. c^2 = a^2 + b^2 - 2bccos(b) c. c^2 = a^2 - b^2 - 2bccos(c) d. c^2 = a^2 + b^2 - 2bccos(a)

Answer is A.

Law of cosines:

c^2 = a^2 + b^2 - 2ab cos(C)

P.S If you need others:

a^2= b^2 + c^2 - 2bc cos( A)

b^2= a^2 + c^2 - 2ac cos(B)

Hope it helps

Option A. is the correct option.

Step-by-step explanation:

In the given triangle ABC, sides BC = a, AB = b and AC = c

Now we know as per cosine rule for all three sides of the triangle.

c² = a² + b² - 2ab cosC

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosC

Therefore Option A. c² = a² + b² - 2ab cos C is the answer.

Step-by-step explanation:

The scale from a map to actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5 cm. What is the approximate distance, in miles, between Chicago and Boston? Show your work.