Thread: Triangle inscribed in a Hexagon

Hey sorry if this is in the wrong place and if the picture is too small but I need some help

What can you say about a triangle that is inscribed in a hexagon, where the vertices of the triangle hits the midpoint of 3 sides of a hexagon?
if there is something about it please explain it to me so I can understand better, thanks.

I don't see a picture...

sorry i just added it right now

Is it a regular hexagon or an arbitrary hexagon?

it is a regular hexagon

ABCDEF is aregular hexagon. Name the three midpoints that form the triangle

Hello, gfbrd!

What can you say about a triangle that is inscribed in a regular hexagon,
where the vertices of the triangle are the midpoint of 3 sides of a hexagon?

What do they want me to say?
. . It has three sides.
. . It has three angles.
. . It is equilateral.
. . It has 60^o angles.


Okay, I'll get serious . . .

A regular hexagon is composed of six equilateral triangles of side a.
Consider the upper half of the hexagon.

Code:

            : - - a - - :
            *  *  *  *  *
           * .         . *
        a *   .       .   * a
         *=================*
        *       .   .       *
       *         . .         *
      *  *  *  *  *  *  *  *  *
      : - - a - - : - - a - - :

We have an isosceles trapezoid.
The side of the triangle is the median.
Its length is the average of the lengths
. . of the two parallel sides.
Hence, the side of the triangle is

The triangle's perimeter is of the hexagon's perimeter.
The triangle's area is of the hexagon's area.

There are two additional triangles which can be drawn meeting the general requirements

Great thanks for your help everyone.

How can a hexagon be divided into eight parts equal in shape and size?



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How can a hexagon be divided into eight parts equal in shape and size?






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