Answer :
Final answer:
The perimeter of triangle DEF, which is formed from the midpoints of another triangle ABC, is half the perimeter of triangle ABC. Therefore, since the perimeter of triangle ABC is 12.8 cm, the perimeter of triangle DEF would be 6.4 cm.
Explanation:
In the triangle ABC, D, E, F are the midpoints of the sides BC, CA, and AB respectively. When this is the case, triangle DEF, otherwise known as the midpoint triangle, has a perimeter that is half the perimeter of triangle ABC. This is often referred to as a property of a triangular median.
Given that the perimeter of triangle ABC is 12.8 cm, we solve for the perimeter of triangle DEF by dividing 12.8 cm by 2, which results in 6.4 cm. So the answer is D. 6.4 cm.
Learn more about Triangle Midpoints here:
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