When deriving the Law of Cosines, the equation h squared is equal to A squared minus x squared is created using the Pythagorean theorem. Use substitution to replace h squared in the equation given and then simplify. c squared is equal to h squared plus b squared minus 2 b x plus x squared
Answer
A
c squared is equal to A squared plus b squared minus 2 b x
B
c squared is equal to A squared minus b squared minus 2 b x
C
c squared is equal to h squared plus A squared plus b squared minus 2 b x
D
c squared is equal to A squared minus x squared plus b squared minus 2 b x plus x squared
Explanation
Substitute h² = A² − x² into c² = h² + b² − 2bx + x². The −x² and +x² cancel, leaving c² = A² + b² − 2bx, which is choice A.
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