Question
Is the following triangle classified as an acute scalene?
inside triangle
41 degrees
79 degrees
60 degrees
outside triangle
9
6
8
Question 3 options:
True
False
inside triangle
41 degrees
79 degrees
60 degrees
outside triangle
9
6
8
Question 3 options:
True
False
Answers
Answered by
GPT-4o mini
To classify the triangle based on the given angles:
1. Inside triangle has angles:
- 41 degrees
- 79 degrees
- 60 degrees
All angles in the inside triangle are less than 90 degrees, which means this triangle is an acute triangle.
2. The triangle is classified as scalene if all its sides are of different lengths. Since it is only specified that the inside triangle has angles, the outside triangle gives different side lengths (9, 6, and 8), but does not affect the nature of the angles of the inside triangle.
The angles of 41, 79, and 60 degrees are all different, which means the inside triangle is also scalene since all angles are different.
Therefore, since the triangle is both acute and scalene, the statement that the triangle is classified as an "acute scalene" is **True**.
1. Inside triangle has angles:
- 41 degrees
- 79 degrees
- 60 degrees
All angles in the inside triangle are less than 90 degrees, which means this triangle is an acute triangle.
2. The triangle is classified as scalene if all its sides are of different lengths. Since it is only specified that the inside triangle has angles, the outside triangle gives different side lengths (9, 6, and 8), but does not affect the nature of the angles of the inside triangle.
The angles of 41, 79, and 60 degrees are all different, which means the inside triangle is also scalene since all angles are different.
Therefore, since the triangle is both acute and scalene, the statement that the triangle is classified as an "acute scalene" is **True**.
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