If a triangle has angles measuring 46°, 51°
, and 83°
, what type of triangle is it? (1 point)
• small triangle
• right triangle
• acute triangle
• obtuse triangle
The triangle with angles measuring 46°, 51°, and 83° is an acute triangle.
To determine the type of triangle based on its angles, we can use the following definitions:
1. An acute triangle is a triangle with all three angles measuring less than 90°.
2. A right triangle is a triangle with one right angle, which measures exactly 90°.
3. An obtuse triangle is a triangle with one angle measuring more than 90°.
Given that the triangle has angles measuring 46°, 51°, and 83°, all three angles are less than 90°. Therefore, the triangle is an acute triangle.
To determine the type of triangle based on its angles, we need to compare the measures of the angles with the definitions of different types of triangles.
1. A small triangle typically refers to a triangle with all angles measuring less than 90 degrees. However, we cannot definitively determine if it is a small triangle just based on the angle measurements.
2. A right triangle has one angle that measures exactly 90 degrees. Since none of the given angles measure 90 degrees, we can rule out a right triangle.
3. An acute triangle is a triangle where all three angles measure less than 90 degrees. To determine if the given triangle is an acute triangle, we need to check if all the given angles (46°, 51°, and 83°) are less than 90 degrees. From the given measurements, we can conclude that all three angles are less than 90 degrees.
4. An obtuse triangle is a triangle where one angle measures more than 90 degrees. None of the given angles measure more than 90 degrees, so we can rule out an obtuse triangle.
Based on the given angle measurements of 46°, 51°, and 83°, we can conclude that it is an acute triangle.