if a triangle has angles measuring 46, 51 and 83 what type of triangle is it
To determine the type of triangle, we need to consider the measures of the angles.
If a triangle has one angle measuring more than 90 degrees, it is an obtuse triangle.
If a triangle has all angles measuring less than 90 degrees, it is an acute triangle.
If a triangle has one angle measuring exactly 90 degrees, it is a right triangle.
In this case, the triangle has angles measuring 46, 51, and 83 degrees.
Since all angles are less than 90 degrees, it is an acute triangle.
To determine the type of triangle, we need to consider the measures of its angles.
A triangle is classified as follows based on angle measures:
- An equilateral triangle has three equal angles of 60 degrees each.
- An isosceles triangle has two equal angles.
- A scalene triangle has three different angles.
Given that the angles of the triangle measure 46, 51, and 83 degrees, none of the angles are equal. Therefore, the triangle is a scalene triangle.
To determine the type of triangle based on the given angle measurements, we need to determine the relationship between these angles.
In a triangle, the sum of all angles is always 180 degrees. Therefore, we can add up the given angle measurements to check if they sum up to 180.
46 + 51 + 83 = 180
Since the sum of the angles is 180, we can confirm that the triangle is valid.
Now, let's check the type of triangle based on its angles:
- 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.
In this case, the triangle has angles measuring 46, 51, and 83 degrees. None of these angles are greater than 90 degrees. Therefore, all the angles are less than 90 degrees.
Hence, the triangle with angles measuring 46, 51, and 83 degrees is an acute triangle.