Question

If a triangle has angles measuring 46 degrees, 51 degrees, and 83 degrees, what type of triangle is it?

obtuse
small
acute
right

Answer 1

To determine the type of triangle based on its angles, we can analyze the largest angle:

- A triangle is classified as:
- **Acute** if all angles are less than 90 degrees.
- **Right** if one angle is exactly 90 degrees.
- **Obtuse** if one angle is greater than 90 degrees.

In the given triangle, the angles measure 46 degrees, 51 degrees, and 83 degrees. The largest angle, which is 83 degrees, is less than 90 degrees.

Since all angles in this triangle are less than 90 degrees, it is classified as an **acute** triangle.