What is the ratio of the area of a square to the area of the square drawn on its diagonal?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1 : 2
The diagonal of a square of side \(a\) is \(a\sqrt{2}\) (Pythagoras' theorem in half of the square).
Area of the square \(=a^2\)
Area of the square on the diagonal \(=(a\sqrt{2})^2=2a^2\)
Ratio \(=a^2:2a^2=1:2\)
