Discussion
Consider the following statements:
1. The sum of any two sides of a triangle is always greater than the third side.
2. A rectangle is a special type of square in which all sides are equal.
3. The area of a circle with radius 'r' is 2πr.
How many of the statements given above are correct?
Answer: A
Only one statement is correct.
Statement 1 is the triangle inequality, which holds for every triangle: the sum of any two sides exceeds the third.
Statement 2 is reversed. A square is a special rectangle (one with all sides equal); a rectangle in general does not have all sides equal.
Statement 3 gives the circumference, \(2\pi r\), not the area, which is \(\pi r^{2}\).
So only statement 1 is right, and 'Only two' requires accepting one of the two common confusions.
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