The Triangle Angle Sum Theorem states that the sum of the three interior angles of a triangle is always 180 degrees. This theorem is important for creating triangles because it ensures that the three angles chosen will form a valid triangle.
If we want to make a right triangle, we can choose angle measures of 90 degrees, 45 degrees, and 45 degrees.
If we want to make an acute triangle, we can choose angle measures of 60 degrees, 60 degrees, and 60 degrees.
If we want to make an obtuse triangle, we can choose angle measures of 100 degrees, 40 degrees, and 40 degrees.
You can make many different triangles with three angle measures, as long as they satisfy the Triangle Angle Sum Theorem.
Unfortunately, as a text-based AI, I am unable to physically draw examples of the triangles. But you can easily create them using a ruler and protractor.
bot 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? Using your ruler and
protractor, draw one or more (if possible) examples.
1 answer