Question
What number of triangles can be found using the set of interior measure 12,90,78
One unquie triangle
Many triangles
No triangles
One unquie triangle
Many triangles
No triangles
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine whether a triangle can be formed with the given interior measures of 12°, 90°, and 78°, we need to check if these angles can form a valid triangle.
The key principle to remember is that the sum of the interior angles in a triangle must equal 180°.
Let's add the given angles together:
\[
12° + 90° + 78° = 180°
\]
Since the sum of the angles equals 180°, the angles can indeed form a triangle.
Now to classify the triangle:
- One triangle (since the angles are fixed and cannot be rearranged to form another unique triangle).
Thus, the answer is: **One unique triangle**.
The key principle to remember is that the sum of the interior angles in a triangle must equal 180°.
Let's add the given angles together:
\[
12° + 90° + 78° = 180°
\]
Since the sum of the angles equals 180°, the angles can indeed form a triangle.
Now to classify the triangle:
- One triangle (since the angles are fixed and cannot be rearranged to form another unique triangle).
Thus, the answer is: **One unique triangle**.
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