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D, E and F are respectively the mid-poin...

D, E and F are respectively the mid-points of sides AB. BC and CA of `triangleABC`. Find the ratio of the areas of `triangleDEF` and `triangleABC`.

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To find the ratio of the areas of triangle DEF and triangle ABC, we can follow these steps: ### Step 1: Identify the midpoints Let D, E, and F be the midpoints of sides AB, BC, and CA of triangle ABC, respectively. ### Step 2: Apply the Midpoint Theorem According to the Midpoint Theorem, the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half as long. Therefore: - DF is parallel to AC and DF = 1/2 AC ...
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