The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees. This theorem is crucial for creating triangles because it ensures that the angle measures chosen will result in a valid triangle. If the sum of the three angle measures does not equal 180 degrees, then it is not possible to create a triangle with those angles.
To determine the type of triangle that can be created with the given angle measures, we can use the following guidelines:
- If all three angles measures are less than 90 degrees, then the triangle is acute.
- If one angle measure is greater than 90 degrees, then the triangle is obtuse.
- If one angle measure is exactly 90 degrees, then the triangle is right.
The number of triangles that can be formed with three angle measures depends on the specific values chosen. However, if we disregard the specific measures and only focus on the types of triangles, we can determine that there are three possibilities: acute, obtuse, or right triangle.
Decide if you want to make an acute, obtuse, or right triangle. Select three angle measures. How is the Triangle Angle Sum Theorem important for creating triangles? How many triangles can you make with three angle measures? Answer the following : Triangle Type: Three angle measures: Triangle Angle Sum Theorem Calculation:
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