The diagonal of a square is twice the side of equilateral triangle then the ratio of Area of the Triangle to the Area of Square is?	Select:  A) 3√9  B) 3√8  C) 3√7  D) 3√5  E) 3√1
Let the side of equilateral triangle = 1 unit.   We know that area of an equilateral triangle = 3–√4a234a2   As side = 1 unit area of the equilateral triangle = 3–√434   Now Diagonal of the square = 2 (side of the equilateral triangle) = 2   We know that area of the square = 12D212D2 where D = diagonal   So area of the square = 12(22)=212(22)=2   Ratio of the areas of equilateral triangle and square = 3–√434 : 2 ⇒⇒ 3√8   Answer:3√8
<result>B</result>
The diagonal of a square is twice the side of equilateral triangle then the ratio of Area of the Triangle to the Area of Square is?