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Euclidean 2Dhard
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A triangle has side lengths 7,8,97, 8, 97,8,9. Let h1,h2,h3h_1, h_2, h_3h1​,h2​,h3​ be its altitudes. What is 1h1+1h2+1h3\frac{1}{h_1} + \frac{1}{h_2} + \frac{1}{h_3}h1​1​+h2​1​+h3​1​?