Question 1168084
.
<pre>

For any equilateral triangle with the side length "a"   


   +---------------------------------------------------------------------------+
   |   for any point inside the triangle, the sum of the distances             |
   |
   |    from the point to the sides of the triangle is a constant value        |
   |    equal to the length of the triangle altitude, i.e. {{{(a*sqrt(3))/2}}}.            |
   +---------------------------------------------------------------------------+



It is easy to prove considering the areas of participating triangles.


In your case, with the side length a = 3 cm,  the answer is (and should be)



    the sum of distances from the point to the sides of the triangle

            is  {{{(3*sqrt(3))/2}}}  cm.
</pre>


But this answer is not in the list of optional answers in your post.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Therefore, <U>the posted problem is a FAKE</U>.




My conclusion is that &nbsp;EITHER &nbsp;the person who created/composed this problem is &nbsp;UNPROFESSIONAL,


OR &nbsp;the source for this problem is untruthful, &nbsp;OR &nbsp;BOTH.



============


I am open to accept your &nbsp;"THANKS" &nbsp;for my teaching.


Please do not post your anathemas to me for pointing your errors.