Question

1. if g is the mid - point of ab, classify each triangle by its angles and sides. * 6 points

triangle bfg
acute, scalene
right, scalene
acute, isosceles
equilateral, equiangular

Explanation:

Step1: Analyze side - lengths

In \(\triangle BFG\), we are not given enough information from the figure to determine if all sides are equal. But we can check angle - types. Since no right - angle or obtuse - angle is indicated, we assume angles are acute for now. Also, we see different side - length values given in the overall figure for related segments, which implies non - equal side lengths for \(\triangle BFG\) (as there is no indication of congruent sides for it). A scalene triangle has no equal sides.

Step2: Determine triangle type

Based on the above analysis, with all angles acute and no equal sides, \(\triangle BFG\) is an acute, scalene triangle.

Answer:

acute, scalene