Question
What number of triangles can be formed using the set of interior angle measures below
12°, 90°, 78°
One unique triangle
Many triangles
no triangles
12°, 90°, 78°
One unique triangle
Many triangles
no triangles
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine if the angles provided can form a triangle, we need to verify two conditions:
1. The sum of the angles must equal 180°.
2. Each angle must be greater than 0°.
Let's first check the sum of the given angles:
12° + 90° + 78° = 180°
Since the sum equals 180°, this satisfies the first condition.
Next, we check that all angles are greater than 0°:
- 12° > 0°
- 90° > 0°
- 78° > 0°
Since both conditions are satisfied, the set of angles can indeed form a triangle.
However, since the angles are fixed, only one unique triangle can be formed from them (as triangles with the same angle measures are considered congruent).
Thus, the answer is:
**One unique triangle.**
1. The sum of the angles must equal 180°.
2. Each angle must be greater than 0°.
Let's first check the sum of the given angles:
12° + 90° + 78° = 180°
Since the sum equals 180°, this satisfies the first condition.
Next, we check that all angles are greater than 0°:
- 12° > 0°
- 90° > 0°
- 78° > 0°
Since both conditions are satisfied, the set of angles can indeed form a triangle.
However, since the angles are fixed, only one unique triangle can be formed from them (as triangles with the same angle measures are considered congruent).
Thus, the answer is:
**One unique triangle.**
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