Question

answer
isosceles acute
scalene right
isosceles right
equilateral
scalene acute
isosceles obtuse
scalene obtuse

Explanation:

1. First, check the side lengths: \( FE = 4 \), \( EG = 4.66 \), \( FG = 7.34 \). All sides are of different lengths, so it is a scalene triangle (eliminating isosceles and equilateral options).
2. Next, check the angles: One angle is \( 110^\circ \), which is obtuse (greater than \( 90^\circ \) and less than \( 180^\circ \)). So the triangle has one obtuse angle and all sides of different lengths.

Answer:

Scalene Obtuse