If a triangle has angles measuring 46 deg , 51 deg and 83 deg , what type of triangle is it? (1 point)
small triangle
O acute triangle
O right triangle
O obtuse triangle
The triangle is an obtuse triangle.
To determine the type of triangle based on its angles, we need to consider the following:
1. If all angles are less than 90 degrees (acute angles), the triangle is an acute triangle.
2. If one angle is exactly 90 degrees (a right angle), the triangle is a right triangle.
3. If one angle is greater than 90 degrees (an obtuse angle), the triangle is an obtuse triangle.
In this case, the angles measure 46 degrees, 51 degrees, and 83 degrees. Since all angles are less than 90 degrees, the triangle is an acute triangle.
To determine the type of triangle based on its angles, you need to analyze the given angle measurements.
In this case, the triangle has angles measuring 46 degrees, 51 degrees, and 83 degrees.
An acute triangle is a triangle with all three angles less than 90 degrees. So, if all the angles of the given triangle are less than 90 degrees, it is an acute triangle.
On the other hand, a right triangle has one angle that measures exactly 90 degrees. If one angle of the provided triangle measures 90 degrees, then it is a right triangle.
Lastly, an obtuse triangle is a triangle with one angle greater than 90 degrees. If one angle of the given triangle measures more than 90 degrees, it is an obtuse triangle.
Now, looking at the angle measurements of 46 degrees, 51 degrees, and 83 degrees, we can see that none of them exceed 90 degrees. Therefore, all the angles of the triangle are less than 90 degrees. Hence, the given triangle is an acute triangle.