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Answer :
Final answer:
Here, the given triangles CFE, BEC, BFG, GAF can be classified respectively as Isosceles and acute, Scalene and obtuse, Scalene and right, and Equilateral and acute based on the definitions of triangle types based on sides and angles.
Explanation:
Firstly, it's important to know that each triangle type has distinct properties in terms of its sides and angles. To classify the triangles provided, we consider the given point G as the midpoint of AB.
CFE: This triangle can be classified as an Isosceles triangle if CF equals FE and as an acute triangle if all of its angles are less than 90 degrees.
BEC: This triangle can be classified as a Scalene triangle if all sides are of different lengths and as an obtuse triangle if one of its angles is more than 90 degrees.
BFG: This triangle can be classified as a Scalene triangle if all sides are of different lengths and as a right triangle if one of its angles is exactly 90 degrees.
GAF: This triangle can be classified as an Equilateral triangle if all sides are equal and as an acute triangle if all its angles are less than 90 degrees.
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