If a triangle has angles measuring 46° , 51° , and 83° , what type of triangle is it?(1 point)
Responses
right triangle
right triangle
acute triangle
acute triangle
small triangle
small triangle
obtuse triangle
obtuse triangle
To determine the type of triangle based on its angles, you can use the following guidelines:
1. An acute triangle has all angles less than 90 degrees.
2. A right triangle has one angle measuring exactly 90 degrees.
3. An obtuse triangle has one angle greater than 90 degrees.
In this case, the triangle has angles measuring 46°, 51°, and 83°. None of these angles are greater than 90 degrees, so the triangle is an acute triangle.
To determine the type of triangle, we need to understand the characteristics of each type of triangle.
1. Right Triangle: A right triangle has one angle measuring 90° (a right angle).
2. Acute Triangle: An acute triangle is a triangle where all three angles are less than 90°.
3. Obtuse Triangle: An obtuse triangle is a triangle where one angle is greater than 90°.
Now, let's analyze the given triangle with angles measuring 46°, 51°, and 83°.
Since none of the angles in the given triangle measure 90°, it is not a right triangle.
All three angles in the given triangle (46°, 51°, and 83°) are less than 90°, so none of the angles exceed 90°. Therefore, the given triangle is an acute triangle.
Therefore, the type of triangle in this case is an acute triangle.