If the diagonal of the square is equal to twice of side of a equilateral triangle. Find out the ratio of the area of the triangle to the square.

• area of equilateral triangle is sqrt(3)a^2/4(a is side of triangle)
  diagonal of square is sqrt(2)x(x is side of square)
  they given condition sqrt(2)x=2a=>x=sqrt(2)a
  area of square is x^2=>2a^2
  ratio is (sqrt(3)a^2/4)/2a^2
  sqrt(3)/8
  ANS :sqrt(3)/8
  
• 11 years agoHelpfull: Yes(13) No(1)
• Let the side of equilateral triangle be x then the diagonal of square will be 2x.
  Now ratio =((sqrt3/4)*x^2)/(0.5*2x*2x)=(sqrt3):8
• 11 years agoHelpfull: Yes(8) No(0)
• the answer is sqrt(3)/8
• 11 years agoHelpfull: Yes(1) No(0)
• formula for diagonal of square: d=sqrt2*a
  area of square: a^2
  area of equilatrl triangle : sqrt3*a^2/4
  so given diagonal of the square is equal to twice of side of a equilateral triangle
  d=2a ---->sqrt(3)*d^2/4 (since 2=d/2)-----> eq 1
  in square d=sqrt(2)*a so.... a^2 become d^2/4---->eq 2
  eq1/eq2=sqrt(3)/8
  then
  
• 11 years agoHelpfull: Yes(1) No(0)
• Ans is sqrt(3)/8 Ans.
• 11 years agoHelpfull: Yes(0) No(0)