If a triangle has angles measuring 46° , 51° , and 83° , what type of triangle is it?(1 point)
Responses
acute triangle
acute triangle
right triangle
right triangle
obtuse triangle
obtuse triangle
small 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 in which all three 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 greater than 90 degrees.
In this case, the angles of the triangle are 46°, 51°, and 83°. Since none of the angles are greater than 90 degrees, the triangle is an acute triangle.
To determine the type of triangle based on the given angles, we need to understand the different types of triangles based on their angles.
1. Acute triangle: This type of triangle has all interior angles less than 90 degrees.
2. Right triangle: This type of triangle has one interior angle equal to 90 degrees.
3. Obtuse triangle: This type of triangle has one interior angle greater than 90 degrees.
Now, let's analyze the angles given in the question. The angles measure 46°, 51°, and 83°.
Since all three angles are less than 90 degrees, none of them measure 90 degrees, and none of them are greater than 90 degrees, the triangle is an acute triangle.
Therefore, the correct answer is an acute triangle.