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.

Question

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)
100 Word Limit
Question 2
Part 2: Explain in your own words how the Triangle Angle Sum Theorem is important for creating triangles?(2 points)
0 / 100 Word Limit
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Answer 1

Part 1: I will create an acute triangle. For my triangle, I will use the following angle measures: 50 degrees, 60 degrees, and 70 degrees. These angles are all less than 90 degrees, satisfying the condition for an acute triangle. According to the Triangle Angle Sum Theorem, the sum of the interior angles in a triangle must equal 180 degrees, and 50 + 60 + 70 equals 180, confirming that these angles will successfully create an acute triangle.

Part 2: The Triangle Angle Sum Theorem is crucial because it ensures that the angles of a triangle always add up to 180 degrees. This helps in verifying if chosen angles can properly form a triangle. By following this theorem, artists and mathematicians alike can confidently construct and understand triangle shapes, ensuring they adhere to the geometric principles that define triangles.