In a triangle

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In a triangle ABCABC, medians ADAD and CECE are drawn. If AD=5AD=5, ∠DAC=π8\angle DAC=\frac{\pi}{8}, and ∠ACE=π4\angle ACE=\frac{\pi}{4}, then the area of triangle ABCABC is 5ab\frac{5a}{b}. Find a+ba+b.

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