Question

4. If D, E, F are respectively the mid-points of the sides AB, BC and CA of an equilateral
ABC, prove that triangle DEF is also an equilateral triangle.
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Answer 1

Step-by-step explanation:

Since line segment joining the mid-points of two sides of a triangle is half of the third side. Therefore, D and E are mid-points of BC and AC respectively. ... Hence, DEF is an equilateral triangle .