Triangle Type: It depends on the angle measures chosen.
Three angle measures: For example, let's say the chosen angles are 30 degrees, 60 degrees, and 90 degrees.
Triangle Angle Sum Theorem Calculation: The Triangle Angle Sum Theorem states that the sum of the angles in any triangle is always 180 degrees. If we add the three given angles (30 + 60 + 90), the sum is 180. Hence, the chosen angles satisfy the Triangle Angle Sum Theorem.
Number of triangles: It is important to note that the side lengths also need to be considered in addition to the angle measures in order to determine the number of triangles. The number of triangles that can be formed with three angle measures and given side lengths may vary depending on the values.
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:
3 answers
Short answer
Triangle Type: Right triangle
Three angle measures: 30 degrees, 60 degrees, 90 degrees
Triangle Angle Sum Theorem Calculation: 30 + 60 + 90 = 180 (satisfies the theorem)
Number of triangles: Only one triangle can be made with these angle measures, assuming the side lengths are also appropriate.
Three angle measures: 30 degrees, 60 degrees, 90 degrees
Triangle Angle Sum Theorem Calculation: 30 + 60 + 90 = 180 (satisfies the theorem)
Number of triangles: Only one triangle can be made with these angle measures, assuming the side lengths are also appropriate.