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Use the Law of Cosines to write an expression equivalent to a. I need this answer urgently pls!

Use the Law of Cosines to write an expression equivalent to a. I need this answer-example-1
User Ido Ran
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1 Answer

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Answer:

a = √(b² +c² -2bc·cos(A))

a = √(c² -b²)

Explanation:

For sides a, b, c, and opposite angles A, B, C, the general form of the law of cosines is ...

a² = b² + c² -2bc·cos(A)

An expression for 'a' can be written by taking the square root.

a = √(b² +c² -2bc·cos(A))

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If you recognize that cos(A) = b/c, then a substitution can be made:

a = √(b² +c² -2(bc)(b/c)) = √(b² +c² -2b²)

a = √(c² -b²) . . . . . . . same as the Pythagorean theorem

User Adeel ASIF
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