Part 1: Your art teacher wants you to create a triangle shaped collage. You need to decide if you want to make an acute, obtuse, or right triangle. First, state which type of triangle you are going to make - acute, obtuse, or right? Then state three angle measures you will use to make your triangle. Remember to use the Triangle Angle Sum Theorem! (2 points)

Question

Part 2: Explain in your own words how the Triangle Angle Sum Theorem is important for creating triangles?(2 points)

Answer 1

Part 1: I will create an acute triangle. The three angle measures I will use are 60°, 70°, and 50°. These angles add up to 180°, which is in accordance with the Triangle Angle Sum Theorem.

Part 2: The Triangle Angle Sum Theorem is important for creating triangles because it tells us that the sum of all three angles in a triangle must always equal 180 degrees. This theorem helps ensure that the angles chosen will form a valid triangle. Without following this rule, the angles could be too large or too small, resulting in a shape that does not close properly into a triangle. Understanding this theorem allows artists, architects, and anyone else working with triangles to construct their shapes accurately.