Triangle Type: Obtuse triangle
Explanation: An obtuse triangle has one angle measure greater than 90 degrees. In this case, the angle measures are 40 degrees, 30 degrees, and 20 degrees. Since 40 degrees is the largest angle measure, the triangle will be an obtuse triangle.
The Triangle Angle Sum Theorem states that the sum of the three angles in a triangle is always 180 degrees. This theorem is important for creating triangles because it allows us to determine whether the given angle measures can form a valid triangle. If the sum of the three angle measures is not 180 degrees, then it is not possible to create a triangle with those angle measures.
In this case, the sum of the three angle measures is 40 degrees + 30 degrees + 20 degrees = 90 degrees. Since the sum is less than 180 degrees, it is not possible to create a valid triangle with these angle measures.
Therefore, no triangles can be made with angle measures of 40 degrees, 30 degrees, and 20 degrees.
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: 40 degrees, 30 degrees, and 20 degrees
1 answer