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4. if g is the mid - point of ab, classify each triangle by its angles …

Question

  1. if g is the mid - point of ab, classify each triangle by its angles and sides. * 7 points

triangle gaf

  1. find all missing angles. * 7 points

Explanation:

Step1: Analyze side - lengths

In triangle $GAF$, assume we have side - length information from the figure. Since no two side - lengths are equal (from the given lengths in the figure, if we consider the segments related to the triangle), it is a scalene triangle.

Step2: Analyze angles

We need to check the type of angles. If one angle of a triangle is greater than $90^{\circ}$, it is an obtuse - angled triangle. If all angles are less than $90^{\circ}$, it is an acute - angled triangle. From the figure, we can see that one of the angles in triangle $GAF$ is greater than $90^{\circ}$ (by visual inspection of the angle formed at one of the vertices).

Answer:

obtuse, scalene