Is this triangle acute, obtuse, or right?

Angle R is 82 degrees, Angle S is 56 degrees, and Angle T is 42 degrees

http://easycalculation.com/trigonometry/triangle-types.php

What do you think?

To determine the type of triangle (acute, obtuse, or right) based on the given angles, we need to analyze the largest angle in the triangle.

In this case, the largest angle is 82 degrees (Angle R).

1. An acute triangle has all angles less than 90 degrees. Since the largest angle (82 degrees) is less than 90 degrees, we can eliminate the possibility of the triangle being obtuse or right.

2. A right triangle has one angle exactly equal to 90 degrees. Since none of the angles in the given triangle are 90 degrees, we can conclude that the triangle is not a right triangle.

3. An obtuse triangle has one angle greater than 90 degrees. Since the largest angle (82 degrees) is less than 90 degrees, we can conclude that the triangle is not an obtuse triangle.

Therefore, based on the given angles, the triangle is an acute triangle.