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Topic: feet of altitudes and angles
Replies: 5   Last Post: Dec 1, 1997 12:41 AM

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Mike de Villiers

Posts: 38
Registered: 12/6/04
Re: feet of altitudes and angles
Posted: Nov 27, 1997 6:23 AM
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Dear Annie
It's easy to prove using properties of the cyclic quads formed by the
altitudes.
Regards
Michael

On Wed, 26 Nov 1997, Annie Fetter wrote:

> My grandmother, who used to be a math teacher, read this problem long ago
> and has always wondered about a proof. (She was never 100% sure that it
> was really true until I modelled the problem in Sketchpad for her. Now she
> is a believer.) I haven't tried to prove it yet, but told her I would
> throw it out to the wolves and see what people came up with.
>
> Prove that the angles formed by connecting the feet of the altitudes of a
> triangle are themselves bisected by the altitudes.
>
> -Annie
>
>
>






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