Geometry is telling something !!

Geometry Level pending

Rectangles A B C D , B C F G , C A H I ABCD,BCFG,CAHI are erected outwardly on the sides of a triangle A B C ABC . Then the perpendicular bisectors of the segments H E , D G , F I HE,DG,FI are drawn. Now which of the following you can perfectly predict without any hesitation?

  1. The perpendicular bisectors after meeting form an equilateral triangle !!

  2. Perpendicular bisectors meet at concurrent position !!

  3. Let's take a point P P in the three dimensional space around that figure then P A 2 + P I 2 + P C 2 + P G 2 + P B 2 + P E 2 = P A 2 + P D 2 + P C 2 + P H 2 + P B 2 + P F 2 PA^2 +PI^2 +PC^2 +PG^2 +PB^2 +PE^2 = PA^2+PD^2+PC^2+PH^2+PB^2+PF^2 !!

  4. Option 2. is incorrect !!

  1. Only
  1. And 3.
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  1. Only
  1. And 3.

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