10
Given the triangle above, choose all the possible formulas that can be used to solve the triangle.
Select one or more:
a. $c^{2}=a^{2}+b^{2}-2 a b \cos C$
b. $b^{2}=a^{2}+c^{2}-2 b c \cos B$
c. $c^{2}=a^{2}+b^{2}-2 b c \cos C$
d. $a^{2}=b^{2}+c^{2}-2 b \cos B$
e. $a^{2}=b^{2}+c^{2}-2 b c \cos A$
f. $b^{2}=a^{2}-c^{2}+2 a c \cos B$

Answer

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\boxed{\text{Final Answer: a, b, and e}}

Steps

Step 1 ：Identify correct formulas using the Law of Cosines: $c^2 = a^2 + b^2 - 2ab \cos C$, $b^2 = a^2 + c^2 - 2ac \cos B$, and $a^2 = b^2 + c^2 - 2bc \cos A$

Step 2 ：Compare with given options and find matches: a, b, and e

Step 3 ：\boxed{\text{Final Answer: a, b, and e}}

Answer

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