Where are the points in a regular triangle which has the following special property: from the distances to the sides (from the points) a triangle can be constructed.

The solution can be seen in the figure attached but I don't know how to prove it.

Printable View

- January 11th 2009, 09:07 AMjames_bondTriangle
Where are the points in a regular triangle which has the following special property: from the distances to the sides (from the points) a triangle can be constructed.

The solution can be seen in the figure attached but I don't know how to prove it. - January 11th 2009, 11:02 AMMoo
Hello,

I'm sorry, I really want to help, but I don't understand what you are asking (Surprised)

what does it mean "from the distances to the sides a triangle can be constructed" ?

The way I understand "distance from a point to a side" is the shortest distance from this point to any point of the side. (it's also the length of the perpendicular to the side coming from the point) - January 11th 2009, 11:08 AMjames_bond
It's the length of the perpendicular to the side coming from the point. And triangle can be constructed means that the sum of any two lengths is greater than the remaining length. Waiting for your help as I'm really in stuck. As you can I've constructed it with GeoGebra and I've found the solution, the points but I really don't know how I can prove it (without starting to write equation of lines for pages..)

If you still don't understand the question please ask!