The ratio of an area of a square to that of square drawn on its diagonal is?
Answer & explanation
Correct answer: option 3
If a is side of square ABCD,
diagonal AC = \(\sqrt {2}\)a
Area of ABCD = a2
Area of square ACEF drawn on diagonal AC is = (\(\sqrt {2a}\))2
Ratio of area of square ABCD to ACEF = a2 : (\(\sqrt {2a}\))2 = 1 : 2