In △ABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Four triangles △ADF, △BDE, △CEF and △DEF are drawn using A, B, C, D, E and F. The following observations are made about these four triangles. i. The perimeters of all four triangles are equal. ii. The areas of all four triangles are equal. Which of the following is true regarding the given observations?

Subject: Mathematics | Topic: Trigonometry | Difficulty: MEDIUM

Options

1. (A) Only (i) is true.
2. (B) Only (ii) is true.
3. (C) Neither (i) nor (ii) is true.
4. (D) Both (i) and (ii) are true.

Verified Answer

Option (D): Both (i) and (ii) are true.

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