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?

Question

Answer the following :

Triangle Type:



Three angle measures:



Triangle Angle Sum Theorem Calculation:

Answer 1

Triangle Type: Acute

Three angle measures: 40°, 50°, 90°

Triangle Angle Sum Theorem Calculation: 40° + 50° + 90° = 180°

The Triangle Angle Sum Theorem is important for creating triangles because it states that the sum of all three interior angles of a triangle is always equal to 180 degrees. This helps in ensuring that the angles selected for the triangle will create a valid shape.

With three angle measures, there is only one unique triangle that can be created if the sum of the angles is exactly 180 degrees. If the sum is greater than 180 degrees, it is not possible to create a triangle with those angles. If the sum is less than 180 degrees, there are multiple triangles that can be formed with those angles.