If a triangle has angles measuring 46°, 51°, and 83°, what type of triangle is it?(1 point)
Responses
small triangle
small triangle
acute triangle
acute triangle
obtuse triangle
obtuse triangle
right triangle
acute triangle
To determine the type of triangle based on its angles, we need to analyze the measures of the angles.
- An acute triangle is a triangle where all angles are less than 90°.
- An obtuse triangle is a triangle where one angle is greater than 90°.
- A right triangle is a triangle where one angle is exactly 90°.
Given the measures of the angles in the triangle: 46°, 51°, and 83°, we can conclude that all angles are less than 90°. Therefore, the triangle is an acute triangle.
To determine the type of triangle, we need to compare the measures of its angles.
In this case, the triangle has angles measuring 46°, 51°, and 83°.
To classify the triangle, we can use the following definitions:
- An acute triangle has all angles less than 90°.
- A right triangle has one angle measuring exactly 90°.
- An obtuse triangle has one angle greater than 90°.
Looking at the given measures, we can see that all the angles are less than 90°. Therefore, the triangle is an ACUTE TRIANGLE.