Arithmeticmedium · Past Paper

What is the ratio of the area of a square to the area of the square drawn on its diagonal?

A1:2
B1:4
C1:sqrt(2)
D1:1

✓ Correct Answer: A1:2

Side = s, Area = s^2. Diagonal = s*sqrt(2), Area of diagonal square = (s*sqrt(2))^2 = 2s^2. Ratio is s^2 : 2s^2 = 1:2.

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