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Mathematics, 06.12.2019 04:31 jinxjungkook3

In acute triangle $abc$ we have $\cos a \cos b = \frac{1}{3}$ and $\sin a \sin b = \frac{1}{2}.$ if the area of triangle $abc$ is 1, what is the area of the orthic triangle? (the orthic triangle has vertices at the feet of the altitudes of the triangle.)

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In acute triangle $abc$ we have $\cos a \cos b = \frac{1}{3}$ and $\sin a \sin b = \frac{1}{2}.$ if...
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