Triangle sum theorem calculation of an acute triangle
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
In an acute triangle, all three angles are less than 90 degrees. Let's say the three angles are A, B, and C.
Since all three angles are less than 90 degrees, we can write the inequality:
A < 90
B < 90
C < 90
Adding these three inequalities together, we get:
A + B + C < 90 + 90 + 90
A + B + C < 270
So, the sum of the interior angles of an acute triangle is always less than 270 degrees.