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.

Answer 1

I will make a right triangle with angle measures of 30°, 60°, and 90°.

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180°. This theorem is important for creating triangles because it helps ensure that the angles chosen will form a valid triangle.

With three angle measures, you can potentially create multiple triangles as long as the sum of the angles is 180°. In this case, there is only one possible triangle with angle measures of 30°, 60°, and 90°.

I will now draw an example of a right triangle with angle measures of 30°, 60°, and 90° using a ruler and protractor.