Finding Angle C in Triangle ABC

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Discussion Overview

The discussion revolves around finding the angle C in triangle ABC, given that angle B is 30 degrees and a specific relationship involving the sides of the triangle: BC² - AB² = AB × AC. The scope includes mathematical reasoning related to triangle properties and angle calculations.

Discussion Character

  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • Post 1 presents the problem statement, specifying the known angle B and the relationship between the sides.
  • Post 2 reiterates the problem statement and hints at further exploration of the solution.
  • Post 3 continues to present the problem and adds a hint, suggesting that there may be additional considerations for finding angle C.
  • Post 4 offers another hint but does not provide a solution, indicating ongoing exploration of the problem.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as multiple hints are provided without a definitive solution or agreement on the approach to finding angle C.

Contextual Notes

The discussion lacks specific assumptions or definitions that may be necessary for solving the problem, and the mathematical steps to derive angle C remain unresolved.

Albert1
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$\triangle ABC,\angle B=30^o , \,\,and \,\, \overline{BC}^2 - \overline{AB}^2=\overline{AB}\times \overline{AC}\\
find \,\, \angle C=?$
 
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Albert said:
$\triangle ABC,\angle B=30^o , \,\,and \,\, \overline{BC}^2 - \overline{AB}^2=\overline{AB}\times \overline{AC}\\
find \,\, \angle C=?$
hint
prove $\angle A=2\angle C$
 
Albert said:
$\triangle ABC,\angle B=30^o , \,\,and \,\, \overline{BC}^2 - \overline{AB}^2=\overline{AB}\times \overline{AC}---(1)\\
find \,\, \angle C=?$
more hint:
in fact $\angle B=30^o$ is not important, you should prove for any triangle if $\angle A=2\angle C $ then (1) will meet
 
Albert said:
more hint:
in fact $\angle B=30^o$ is not important, you should prove for any triangle if $\angle A=2\angle C $ then (1) will meet
my solution :
View attachment 5446
 

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