Prove that there exist exactly two non-similar isosceles triangles such that .

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove that there exist exactly two non-similar isosceles triangles ABCABC such that tan⁡A+tan⁡B+tan⁡C=100\tan A+\tan B+\tan C=100.

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