47) The three sides of a triangle are given.16, 14, 21 cms and this triangle is conveted into a square .so what will be the area of the square generated?

• It would be easier to understand if you consider lenght of all the sides as a rope ,
  and using this rope (since the length of rope is fixed ) we have to form a square
  so visualise it as
  
  ------|-----|----
  21 16 14
  
  as the lenght of rope is fixed
  so 4s= 21+16+14
  s=12.75
  therefore area of square= 162.5625
• 11 years agoHelpfull: Yes(71) No(1)
• 162.5625 cm^2
• 11 years agoHelpfull: Yes(10) No(1)
• 112
  area of triangle=area of square
  by herons formula
• 11 years agoHelpfull: Yes(10) No(19)
• From the given information,Perimeters of both square and triangle doesn't change thus 4s=16+14+21=51/4=12.75
  Area=12.75^2
• 11 years agoHelpfull: Yes(7) No(2)
• (14+16+21)/4. Then you will get the 1 side of a square and now find the area of a square.ie, side^2
• 11 years agoHelpfull: Yes(6) No(0)
• ans is 162.5
• 11 years agoHelpfull: Yes(2) No(0)
• where is it mentioned that we ve to cosider their sides to be same......we have to take care of area here ....and hence use hero's formula
• 11 years agoHelpfull: Yes(2) No(0)
• Answer: 162.5625
  16+14+21=51......51/4=12.75 and 12.75 square=162.5625
  
• 11 years agoHelpfull: Yes(1) No(0)
• suppose the side of square is a'.
  perimeter of triangle = 16+14+21= 51 and that is equal to perimeter of square.
  its means 4a' = 51
  a'= 51/4
  so square will be (51/4)^2 = 162.56
• 11 years agoHelpfull: Yes(1) No(0)
• as the lenght of rope is fixed
  so 4a= 21+16+14
  a=12.75// a is the side of square
  therefore area of square= 162.5625
• 11 years agoHelpfull: Yes(1) No(0)
• Can u explain correct answer
  
• 11 years agoHelpfull: Yes(0) No(1)
• s=(16+14+21)/2=51/2=25.5
  area of triangle=sqrt(s*(s-a)*(s-b)*(s-c))
  =sqrt(25.5*(25.5-16)*(25.5-14)*(25.5-21))
  =sqrt(25.5*9.5*11.5*4.5)
  =sqrt(12536.4375)
  =111.996=112(approx)
• 11 years agoHelpfull: Yes(0) No(12)
• i think ashish ans is wrong. because of area of triangle = area of square. and acc. to heron's formula ans for area of triangle is 111.96 i.e. 112
  
• 11 years agoHelpfull: Yes(0) No(2)