What does it mean to name a triangle by its sides and by its angles?
I know isosolese, acute, right, etc. are examples of angles, what are examples of names by the sides?
by angles, a triangle could be
acute: all angles less than 90
right-angled: one angle 90º, the other two acute
obtuse: one of the angles is greater than 90º
by sides, a triangle could be
scalene: all sides are of different lengths
isosceles: two of the sides are equal
equilateral: all 3 sides are equal
of course an isosceles triangle also has two angles equal, and an equilateral triangle has 3 60º angles.
When we name a triangle by its sides, we consider the lengths of each side of the triangle. There are several specific names we use to describe triangles based on their sides:
1. Equilateral Triangle: The equilateral triangle has all three sides of equal length. This means that all angles of an equilateral triangle are also equal to 60 degrees.
2. Isosceles Triangle: An isosceles triangle has two sides that are equal in length, while the third side is of a different length. The angles opposite the equal sides are also equal.
3. Scalene Triangle: A scalene triangle has no sides of equal length. Each side of a scalene triangle has a different length, and thus, each angle is also different.
Now, let's consider naming a triangle by its angles. The angles of a triangle can also be used to classify a triangle based on their measures:
1. Acute Triangle: An acute triangle is a triangle in which all three angles are less than 90 degrees. In other words, all angles within an acute triangle are acute angles.
2. Right Triangle: A right triangle has one angle that measures exactly 90 degrees. The other two angles are acute, totaling 90 degrees when added together.
3. Obtuse Triangle: An obtuse triangle has one angle that measures greater than 90 degrees. The other two angles are acute.
It is important to note that the names of triangles based on their sides and angles can be combined. For example, a triangle could be classified as an isosceles obtuse triangle if it has two equal sides and one obtuse angle.
IT MEANS THAT IS A REGULAR POLYGON
THAT IS EQUANGULAR AND EQUELATELAL.