Decide if you want to make an acute, obtuse, or right triangle. Select three angle measures to make your triangle.
I select 60 degrees, 60 degrees, and 60 degrees to make an equilateral triangle with three equal angles of 60 degrees each, resulting in a total angle measure of 180 degrees. This triangle is an acute triangle as all three angles are less than 90 degrees.
How is the Triangle Angle Sum Theorem important for creating triangles?
The Triangle Angle Sum Theorem states that the sum of the three interior angles of a triangle is always 180 degrees. This theorem is crucial for creating triangles because it ensures that the angles chosen for the triangle will form a closed figure with straight sides.
When selecting angle measures to create a triangle, it is important to keep in mind the Triangle Angle Sum Theorem to ensure that the angles chosen will add up to 180 degrees, allowing for a well-defined triangle. If the chosen angles do not satisfy this theorem, the figure will not be a triangle but rather a different type of polygon.
In essence, the Triangle Angle Sum Theorem guides the selection of angle measures to form valid triangles and is essential for constructing accurate geometric figures.