Question 75

The side of a square is 'a' cm. The ratio of its diagonal to its side is:

Solution

The side of a square is 'a' cm.

$$\left(Diagonal\right)^2\ =\ a^2\ +\ a^2$$ [According to the pythagoras theorem.]

$$\left(Diagonal\right)^2\ =\ 2a^2$$

$$Diagonal=\sqrt{\ 2}a$$

Ratio of its diagonal to its side = $$\sqrt{\ 2}a : a$$

= $$\sqrt{\ 2} : 1$$

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