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If the altitudes of a triangle all have the same length, must the triangle be equilateral? Why or why not?

 May 19, 2021

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 #1
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Well, let the common length of the altitude be \(h\). Then, the length of each side is \(\frac{2K}{h}\) where K is the area, so it is equilateral.

 May 19, 2021
 #1
avatar+177 
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Best Answer

Well, let the common length of the altitude be \(h\). Then, the length of each side is \(\frac{2K}{h}\) where K is the area, so it is equilateral.

ilovepizza547 May 19, 2021

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