Consider the following statements:
Which is/are true?
(A) The sum of any two sides of a triangle is greater than the third side.
(B) The median of a triangle divides it into two triangles of equal area.
(C) The diagonals of a parallelogram bisect each other.
(D) The diagonals of rhombus are equal and bisect each other.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A), (B) and (C) only
(A) is the triangle inequality, true of every triangle. (B) is true because a median joins a vertex to the mid-point of the opposite side, so the two triangles formed stand on equal bases with the same height. (C) is a standard property of the parallelogram.
(D) is false. The diagonals of a rhombus bisect each other and meet at right angles, but they are not equal in length — equal diagonals belong to a rectangle, and a rhombus with equal diagonals would be a square.