Search results
Triangles can be classified either according to their sides or according to their angles. All of each may be of different or the same sizes; any two sides or angles may be of the same size; there may be one distinctive angle. The types of triangles classified by their sides are the following:
- Triangles
The triangle will have a base of 8 centimeters. Previous...
- Altitudes Medians and Angle Bisectors
Altitudes can sometimes coincide with a side of the triangle...
- Pythagorean Theorem and Its Converse
Theorem 66: If a triangle has sides of lengths a, b, and c...
- Extension to The Pythagorean Theorem
Variations of Theorem 66 can be used to classify a triangle...
- Squares and Rectangles
Perimeter refers to the entire length of a figure or the...
- Geometric Mean
When a positive value is repeated in either the means or...
- Triangles
Triangles can be classified into three groups based on the measure of their angles: acute, obtuse, equiangular, and right-angled. Learn more about their properties, along with some examples. Coding
- In a triangle, there are three sides, three vertices, and three angles.
- An equiangular triangle is a triangle with three equal interior angles. Each of the interior angles of an equiangular triangle measures 60 degrees.
- A triangle is classified as follows, based on its angles:1) Acute Triangle2) Right Triangle3) Obtuse Triangle4) Equiangular triangle
- Triangles are classified as below: Acute triangle: Each of the triangle’s angles is less than 90 degrees in an acute triangle. Obtuse triangle:One...
Example 1: Classify the triangle by its angle measures. If we examine the angle measures closely, we can see that the triangle is composed of two angles that measure less than [latex]90^\circ[/latex] (acute angles) and one that is more than [latex]90^\circ[/latex] (obtuse angle).
- Equilateral Triangle
- Isosceles Triangle
- Scalene Triangle
- Acute Triangle
- Right Triangle
- Obtuse Triangle
Equilateral triangle is the most common type used while learning the basics of the shape. Here, the three sides are equal to each other along with the three angles measuring 60°. An equilateral triangle is considered a regular polygon with angles and sides equal.
The word isosceles is derived from the Greek word 'iso' which means same and 'skelos' which means leg. This type of triangle has two sides of the same length. The two equal sides of an isosceles triangle are called the legsand the angle between them is called the vertex angleor apex angle.
A scalene triangle is a triangle with all three sides of different lengths along with three angles of different measures. This shape does not have a line of symmetry i.e. no matter where a line is drawn through a scalene triangle, the left and right sides of the line will never be equal to each other. Triangles can also be classified on the basis o...
Acute triangle is a type of triangle where all three interior angles are acute anglesor less than 90°. The sides of an acute-angled triangle can be equal or unequal depending on whether the triangle is equilateral, isosceles, or scalene.
A right-angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle. Here, the relationship between the sides is understood with the help of the Pythagoras rule. The side opposite to the right angle is the largest side and is refe...
An obtuse-angled triangle or obtuse triangle is a type of triangle whose one of the vertex angles is bigger than 90° and the sum of the other two angles is less than 90°. The side opposite to the obtuse angle is considered the longest. The different types of triangles are also classified according to their sides and angles as follows: 1. Equilatera...
Types of Triangles Based on Angles. Triangles can be classified into three types with respect to their interior angles which are: Acute-angled; Obtuse-angled; Right-angled; Let us discuss them. Acute Triangle. An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 ...
- 6 min
The classifying triangles calculator can help you name a chosen triangle. Triangles have two types of names. With our calculator, you'll learn how to classify triangles by their sides. Then, you'll also find out how to name them based on the sizes of their angles.
Oct 26, 2023 · Step-by-step Guide: Classifying Triangles. Based on Sides: Equilateral Triangle: All three sides are of equal length.All three angles measure \(60^\circ\). Isosceles Triangle: Two sides are of equal length.The angles opposite these equal sides are also equal. Scalene Triangle: No sides are of equal length.None of the angles are equal. Based on ...
