Which of the following statements are true for a square?

Question:

Which of the following statements are true for a square?

(i) It is a rectangle.

(ii) It has all its sides of equal length.

(iii) Its diagonals bisect each other at right angle.

(iv) Its diagonals are equal to its sides.

Solution:

(i) True

(ii) True

(iii) True

(iv) False

This is because the hypotenuse in any right angle triangle is always greater than its two sides.

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