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

1. Right triangle
2. Obtuse triangle
3. Acute triangle
4. Small triangle

1 answer

To determine the type of triangle, we need to analyze the measure of the angles.

An acute triangle is a triangle where all angles are less than 90 degrees.

A right triangle is a triangle with one right angle, which means one angle measuring exactly 90 degrees.

An obtuse triangle is a triangle with one angle greater than 90 degrees.

To find the type of triangle, we compare the given angle measures with the definitions above. If all angles are less than 90 degrees, it is an acute triangle. If one angle is exactly 90 degrees, it is a right triangle. If one angle is greater than 90 degrees, it is an obtuse triangle.

Given that the given angles measure 46°, 51°, and 83°, all angles are less than 90 degrees. Therefore, the triangle is an acute triangle.

Thus, the correct answer is option 3. Acute triangle.