If a triangle has angels measuring 46° , 51° , and 83° , what type of triangle is it?
1. Right triangle
2. Obtuse triangle
3. Acute triangle
4. Small triangle
To determine the type of triangle, we need to analyze the measure of the angles.
An acute triangle is a triangle where all angles are less than 90 degrees.
A right triangle is a triangle with one right angle, which means one angle measuring exactly 90 degrees.
An obtuse triangle is a triangle with one angle greater than 90 degrees.
To find the type of triangle, we compare the given angle measures with the definitions above. If all angles are less than 90 degrees, it is an acute triangle. If one angle is exactly 90 degrees, it is a right triangle. If one angle is greater than 90 degrees, it is an obtuse triangle.
Given that the given angles measure 46°, 51°, and 83°, all angles are less than 90 degrees. Therefore, the triangle is an acute triangle.
Thus, the correct answer is option 3. Acute triangle.
To determine the type of triangle, we need to analyze the measures of the angles.
Given that the triangle has angles measuring 46°, 51°, and 83°, let's determine the type of triangle.
1. Right triangle: A right triangle has one angle measuring 90°. Since none of the angles in this triangle measure 90°, it is not a right triangle.
2. Obtuse triangle: An obtuse triangle has one angle greater than 90°. Among the given angles, none of them measure greater than 90°, so it is not an obtuse triangle.
3. Acute triangle: An acute triangle has all angles less than 90°. Among the given angles, all of them measure less than 90°, so it is an acute triangle.
4. Small triangle: "Small" is not a common classification for triangles. We usually classify triangles based on their angles or side lengths. Assuming "small" refers to the size of the triangle, without additional information it is difficult to determine the size.
Therefore, the correct answer is: 3. Acute triangle
To determine the type of triangle based on its angle measurements, we need to understand the definitions of different types of triangles:
1. A right triangle has one angle measuring 90°.
2. An obtuse triangle has one angle measuring more than 90°.
3. An acute triangle has all angles measuring less than 90°.
4. There is no specific type of triangle called a "small triangle."
Now, let's analyze the given triangle with angle measurements of 46°, 51°, and 83°:
To determine which type of triangle it is, we need to see if any of the angles meet the definitions given above.
The given triangle does not have any angles measuring 90°, so it is not a right triangle.
The given triangle also does not have any angles measuring more than 90°, so it is not an obtuse triangle.
Lastly, all of the angles in the given triangle (46°, 51°, and 83°) are less than 90°, so they qualify as acute angles.
Therefore, based on the angle measurements, the given triangle is an acute triangle (option 3).