Question

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?

Answer the following :

Triangle Type:



Three angle measures:



Triangle Angle Sum Theorem Calculation:
(4 points)
0 / 10000 Word Limit
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1 answer

Triangle Type: Right triangle

Three angle measures: 30 degrees, 60 degrees, 90 degrees

Triangle Angle Sum Theorem Calculation: The Triangle Angle Sum Theorem states that the sum of the three angles in a triangle is always 180 degrees.

In this case, the sum of the three angle measures is 30 degrees + 60 degrees + 90 degrees = 180 degrees. Therefore, it follows the Triangle Angle Sum Theorem.

Number of triangles that can be made with three angle measures: There can only be one triangle with these three angle measures, as the sum of the angles must be 180 degrees.