(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

So I have an equilateral triangle of side(s) = 3x10^-2 m

Im trying to find the value of the distance from a point directly in the middle of the triangle, to the middle of one side.

2. Relevant equations

3. The attempt at a solution

What I wanted to do was, cut the triangle in half, so now I have a hypotenus, of value 3x10^-2 m, a base of half of that, 1.5x10^-2 m, and a side b which I use pythagoras to solve for.

[itex] b = ((3x10^-2)^2 - (1.5x10^-2)^2 ) ^1/2 [/itex]

which = .02598,

and now taking half of that I have the value of the distance from a point directly in the middle of the triangle, to the middle of one side.

But my book tells me im wrong.

What they did was construct a line from one vertex of the triangle to the middle, then adjacent to that is a line l/2, and then there is another line which I'm trying to solve for, going from the middle of one side to the origin. They then used tan(30) l/2 to calculate it to .0086...

but I don't get why my method works. I'm essentially halfing the equalateral, finding the long side, and taking half of it, how doesn't that give me the value of the distance from a point directly in the middle of the triangle, to the middle of one side

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# Homework Help: Why does my method for calculating this value from..?

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