Important Concepts of Triangles For RRB Stage – II

Mathematics is an equally important section for RRB Stage II exam and has an even more abundant importance in some other exams conducted by RRB & SSC. Generally, there are questions asked related to basic concepts and formulas of Arithmetic Progression. 
To let you make the most of Mathematics section, we are providing important facts related to Arithmetic Progression. Also, Railway Exam Stage II is nearby with bunches of posts for the interested candidates in which Mathematics is a major part. We have covered important notes and questions focusing on these prestigious exams. We wish you all the best of luck to come over the fear of Mathematics section.


Triangles


Centroid [Intersecting Point of medians of the triangle] : 

  • Centroid divides median of a triangle in ratio 2 : 1
AG/GE=2/1
AG/AE=2/3
GE/AE=1/3
  • area ∆ ABE =  1/2 area ∆ ABC
  • area ∆ AGB = 1/3 area ∆ ABC
  • area ∆ AGF = 1/6 area ∆ ABC

  • AO = OD
  • OG = 1/3 AO
  • AB² + BC² = 2BD² + 1/2 AC²
  • AB² + AC² = 2AE² + 1/2  BC²
  • CA² + CB² = 1/2 AB² + 2 FC²
  • Area ∆ FGE = 1/12 area ∆ ABC
  • 3 × (sum of side square) = 4x (sum of median square) 
  • 3 × (AB² + BC² + AC²) = 4x (AE² + BD² + CF²)
  • area ∆ ABC = 4/3 area ∆ (Formed by taking AD, BF, CE, as sides of a triangle)

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