The number of different non congruent triangles with integer side and perimeter 15 is
a)9 b)7 c)10 d)6

• **Answer is-->(b) 7
  x + y + z = 15
  
  x + y > z
  x + z > y
  y + z > x
  
  From
  x + y + z = 15
  x + y = 15 - z
  
  since x + y > z,
  15 - z > z
  15 > 2z
  7.5 > z
  
  agn
  x + y + z = 15
  x + z = 15 - y
  
  since x + z > y,
  15 - y > y
  15 > 2y
  7.5 > y
  
  agn
  x + y + z = 15
  y + z = 15 - x
  
  since y + z > x,
  15 - x > x
  15 > 2x
  7.5 > x
  
  So all the sides are 7 or less
  
  sure they are non-congruent,
  
  we'll require that perimeter=15
  
  x = 1 y = 7 z = 7
  x = 2 y = 6 z = 7
  x = 3 y = 5 z = 7
  x = 3 y = 6 z = 6
  x = 4 y = 4 z = 7
  x = 4 y = 5 z = 6
  x = 5 y = 5 z = 5
  
  So there are 7
• 8 years agoHelpfull: Yes(15) No(2)
• B)7, Let ,1st side of triangle =a, 2nd side =b & 3rd side =c
  
  A/C to law of triangle a+b>c so (a+b) must be 8 or 9 or 10 or 11 or 12 or 13 or 14 but not be 15,
• 8 years agoHelpfull: Yes(9) No(4)
• B)7, Let ,1st side of triangle =a, 2nd side =b & 3rd side =c
  
  A/C to law of triangle a+b>c so (a+b) must be 8 or 9 or 10 or 11 or 12 or 13 or 14 but not be 15.
  hence answer is 7 option b
• 8 years agoHelpfull: Yes(4) No(1)
• ans b)7
  6+7+2
  5+7+3
  4+7+4
  5+5+5
  5+4+6
  6+6+3
  7+7+1
• 8 years agoHelpfull: Yes(1) No(1)
• ANS b)7 is currect ans
• 8 years agoHelpfull: Yes(1) No(0)
• Answer a)9
  sides can be
  9,4,2
  8,5,2
  7,6,2
  1,6,8
  1,5,9
  3,4,8
  3,5,7
  3,4,8
  4,5,6
  
  
• 8 years agoHelpfull: Yes(0) No(6)
• sorry , the above answer the correct answer is 7
  
• 8 years agoHelpfull: Yes(0) No(0)