If a triangle has angles measuring 46° , 51° , and 83° , what type of triangle is it?(1 point)
Responses
right triangle
right triangle
obtuse triangle
obtuse triangle
acute triangle
acute triangle
small triangle
acute triangle
To determine the type of triangle, we need to analyze the measures of its angles.
An acute triangle is a triangle in which all the angles are less than 90 degrees.
A right triangle is a triangle that has one angle measuring exactly 90 degrees.
An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.
In this case, the triangle has angles measuring 46°, 51°, and 83°.
To determine the type of triangle, we can compare the angles to 90 degrees:
- Since none of the angles are exactly 90 degrees, it is not a right triangle.
- Since none of the angles are more than 90 degrees, it is not an obtuse triangle.
Therefore, the triangle is an acute triangle since all the angles are less than 90 degrees.
The correct answer is: acute triangle.
To determine the type of triangle based on the given angles, we classify triangles according to their angle measures:
- An acute triangle has three angles that are all less than 90 degrees.
- A right triangle has one angle of exactly 90 degrees.
- An obtuse triangle has one angle greater than 90 degrees.
In this case, the triangle with angles measuring 46°, 51°, and 83° is an acute triangle since all three angles are less than 90 degrees.