(adsbygoogle = window.adsbygoogle || []).push({}); Altitude Sum Proof

Hi all,

I have this problem that I have no idea where to start. It asks to prove for a triangle with altitudes h_a, h_b, and h_c, that

[tex]\frac{1}{h_a} < \frac{1}{h_b} + \frac{1}{h_c}[/tex]

Any idea how to begin this proof? I've tried all sorts of algebra, and utitlizing the Triangle Inequality, but I can't seem to reach this conclusion. Any help is greatly appreciated -- thank you! :)

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# Altitude Proof

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