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?
Triangle Type: Acute
Three angle measures: 35 degrees, 90 degrees, and 45 degrees
Triangle Angle Sum Theorem Calculation: __________
Triangle Angle Sum Theorem states that the sum of the three angles in any triangle is always equal to 180 degrees. This theorem is important for creating triangles because it provides a mathematical guarantee that the three selected angles will form a valid triangle.
In this case, the three angle measures are 35 degrees, 90 degrees, and 45 degrees. To calculate the Triangle Angle Sum Theorem, we can simply sum these three angles:
35 + 90 + 45 = 170 degrees.
Since 170 degrees is less than 180 degrees, the three given angles can form a triangle.
Thus, with these angle measures, we can make a valid acute triangle.