Triangle has angles measuring 46° 51° and 83°. What type of triangle is it?
not so -- all the angles are acute, so the triangle is acute and scalene.
Apologies for the incorrect response. You are right. Since all the angles in the triangle are acute (less than 90°), it is an acute triangle. Additionally, since all the angles are different, it is also a scalene triangle. Thank you for pointing out the mistake.
To determine the type of triangle, we need to analyze the measures of the angles.
1. Start by arranging the angles in ascending order:
46°, 51°, 83°
2. Now, let's check the properties of the angles:
- An acute angle is less than 90°.
- A right angle is exactly 90°.
- An obtuse angle is greater than 90°.
3. Looking at the measures of the angles in the given order:
- The first angle, 46°, is less than 90°, so it's an acute angle.
- The second angle, 51°, is also less than 90°, so it's an acute angle as well.
- The third angle, 83°, is greater than 90°, so it's an obtuse angle.
4. Since this triangle has one obtuse angle, it is classified as an obtuse triangle.
Therefore, the triangle with angles measuring 46°, 51°, and 83° is an obtuse triangle.
To determine the type of triangle based on its angles, we need to assess the sum of the angles.
In a triangle, the sum of all angles equals 180 degrees.
Let's add the given angles:
46° + 51° + 83° = 180°
Since the sum of the angles is 180°, this means that the triangle is a valid one.
Now, we can determine the type of triangle based on its angles:
- If all three angles are less than 90 degrees, it is an acute triangle.
- If one angle measures exactly 90 degrees, it is a right triangle.
- If one angle is greater than 90 degrees, it is an obtuse triangle.
From the given angles of 46°, 51°, and 83°, we can conclude that all the angles are less than 90 degrees. Therefore, this triangle is an acute triangle.