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 2 years ago
For a given triangle ABC, where \(h_X\) stands for altitude from a vertex \(X\), is \(h_b+h_c>b\) for all \(b\)?
 2 years ago
For a given triangle ABC, where \(h_X\) stands for altitude from a vertex \(X\), is \(h_b+h_c>b\) for all \(b\)?

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vf321
 2 years ago
Best ResponseYou've already chosen the best response.0\[h_c = a \sin B\]\[h_b = c \sin A\]\[b^2 = a^2+c^22a c\cos B\]\[b^2\sin^2 A \sin^2 B=h_c^2\sin^2 A+h_b^2\sin^2B2h_ch_b \cos B \sin B\sin A\]
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