Question
classify each triangle by its angles and sides
Inside Triangle
75 degrees
60 degrees
45 degrees
Outside Triangle
6
6.6
4.9
what is the triangle
right isosceles
acute scalene
scalene isosceles
acute isosceles
Inside Triangle
75 degrees
60 degrees
45 degrees
Outside Triangle
6
6.6
4.9
what is the triangle
right isosceles
acute scalene
scalene isosceles
acute isosceles
Answers
GPT-4o mini
To classify the triangle based on the angles and sides provided:
### Angles:
1. 75 degrees
2. 60 degrees
3. 45 degrees
- Since all angles are less than 90 degrees, the triangle is classified as **acute** (all angles less than 90°).
### Sides:
- The lengths of the sides are:
- 6 (for the side opposite the 75° angle)
- 6.6 (for the side opposite the 60° angle)
- 4.9 (for the side opposite the 45° angle)
- The side lengths are all different from each other (6, 6.6, and 4.9), thus the triangle does not have any equal sides.
### Classifications:
- Since the triangle has all acute angles and has no equal sides, it can be classified as **acute scalene**.
Therefore, the triangle is an **acute scalene triangle**.
### Angles:
1. 75 degrees
2. 60 degrees
3. 45 degrees
- Since all angles are less than 90 degrees, the triangle is classified as **acute** (all angles less than 90°).
### Sides:
- The lengths of the sides are:
- 6 (for the side opposite the 75° angle)
- 6.6 (for the side opposite the 60° angle)
- 4.9 (for the side opposite the 45° angle)
- The side lengths are all different from each other (6, 6.6, and 4.9), thus the triangle does not have any equal sides.
### Classifications:
- Since the triangle has all acute angles and has no equal sides, it can be classified as **acute scalene**.
Therefore, the triangle is an **acute scalene triangle**.