You are given 87 matchsticks. They are arranged in rectangular manner.Find the number of triangles formed?

• 1st triangle formed by using 3 sticks ...
  so remaining sticks are =87-3=84
  all other can be formed by just using two sticks =84/2 =42
  
  so total =42(by using two sticks)+1(by using three sticks) =43
• 11 years agoHelpfull: Yes(49) No(0)
• Number of triangles formed
  2n+1=87 then n=43 Ans
• 11 years agoHelpfull: Yes(32) No(2)
• @ swapnil : nt gettin. . cn you explain in detail please :) why did you use this formula ??
• 11 years agoHelpfull: Yes(4) No(2)
• sorry the ans will be 43 . . .
• 11 years agoHelpfull: Yes(3) No(4)
• 3200 is the answr
• 11 years agoHelpfull: Yes(2) No(22)
• 87-3=84
  84/2=42
  42+1=43
• 11 years agoHelpfull: Yes(2) No(0)
• the question is wrong ,it shud be like if first triangle is formed with three sticks and later with two sticks?how many triangles are posssible??=43
• 11 years agoHelpfull: Yes(1) No(2)
• Here we know,
  3 matchsticks form 1 triangle
  5 matchsticks form 2 triangle
  7 matchsticks form 3 triangle
  
  In this way, the matchsticks and the triangles both follow different A.P. series.
  We have total 87 matchsticks
  Now if 87 is the = [(87-3)/2]+1
  = 43 th term of the A.P. series of matchsticks.
  
  Now, the 43 th term of the A.P. series of triangle is 43.
  So, answer is,
  we can form 43 triangles.
• 8 years agoHelpfull: Yes(1) No(0)
• by arranging in rectangular manner how to form triangle? will u please explain.
  
• 8 years agoHelpfull: Yes(1) No(1)
• but we have to form rectangle not triangle SWAPNIL DESHMUKH
• 11 years agoHelpfull: Yes(0) No(7)
• @ swapnil plz explain me..why r u used 2n+1 formula
  
• 11 years agoHelpfull: Yes(0) No(0)
• how all others are formed by using 2 sticks?
  
• 9 years agoHelpfull: Yes(0) No(0)
• 2n + 1 = k
  Here n = triangles, k = sticks
  2n+1 = 87
  n = 43
  so ans is 43 triangles.
• 8 years agoHelpfull: Yes(0) No(0)
• First form the first triangle by using 3 sticks then, use one of the three sides of first triangle as the first side of second triangle.. Add two extra sticks to it... I hope i m clear..
• 7 years agoHelpfull: Yes(0) No(0)