Statement I: In any triangle

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

Problem

Statement I: In any triangle ABCABC, the square of the length of the angle bisector ADAD is bc{1−a2(b+c)2}bc\left\{1-\frac{a^2}{(b+c)^2}\right\}. Statement II: In any triangle ABCABC, the length of the angle bisector ADAD is 2bcb+ccos⁡(A2)\frac{2bc}{b+c}\cos\left(\frac{A}{2}\right).

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