.diagonal of a square is double the side of an equilateral triangle find the ratio of area of triangle to area of square

• let sides of equilateral triangle be 'a', therefore area= √3/4 * a^2
  
  now, diagonal of square is 2a therefore sides of square will be √2*a
  and area of square = 2 a^2
  
  hence, ratio = (√3/4* a^2)/(2* a^2)
  answer = √3/8
• 12 years agoHelpfull: Yes(21) No(1)
• If a is side of triangle and x is side of square , then
  4a^2= x^2+x^2= 2x^2
  x^2= 2a^2 = area of square
  area of triangle = (root 3)* (a^2)/4
  ratio of area of triangle to area of square = (root 3):8
• 12 years agoHelpfull: Yes(15) No(0)
• diagonal of square is 2a(say).then side of square will be 2a/sqrt(2)=sqrt(2)a
  hence area 2a^2
  area of triangle sqrt(3)a^2/4
  hence reqd ratio will be
  sqrt(3):8
• 12 years agoHelpfull: Yes(2) No(1)
• let side of square =a
  let side of eq. triangle=b
  given,
  root2*a=2*b
  thus,a/b=root2
  now area of square=a^2
  area of eq triangle=root3/4*b^2
  ratio=root3/4(b^2/a^2)
  =root3/4(b^2/2b^2)
  =root3/4(1/2)
  =root3/8
  ans=root3/8
• 12 years agoHelpfull: Yes(1) No(1)
• please help me... 12 septeber tcs paper send me..... my email id : callmenowraj@gmail.com
• 12 years agoHelpfull: Yes(0) No(4)
• If a is side of triangle and x is side of square , then
  4a^2= x^2+x^2= 2x^2
  x^2= 2a^2 = area of square
  area of triangle = (root 3)* (a^2)/4
  ratio of area of triangle to area of square = (root 3):8
• 12 years agoHelpfull: Yes(0) No(1)
• some1 please send me all question of tcs 12 sep 2012.my email id is:-
  kodermariteshsri@gmail.com
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• can u plez mail me the all the questions which u have attended in tcs. my emailID is munna9595@gmail.com
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