![]() ![]() Acute triangle: In an acute triangle, all the angles measure less than 90°.On the basis of angles, triangles are classified into acute triangle, right triangle, and obtuse triangle. What are the 3 Types of Triangles Based on their Angles? Thus, there are six types of triangles in geometry. Based on their angles, the 3 types of triangles are listed as, acute triangle, obtuse triangle, and right-angled triangle. Based on their sides, the 3 triangles are classified as equilateral triangles, isosceles triangles, and scalene triangles. They can be classified according to 2 groups. There are six types of triangles in geometry. When all the sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.įAQs on Types of Triangles What are the Types of Triangles in Geometry?.The three internal angles in a triangle always add up to 180°.In an equilateral triangle, each of the three internal angles is 60°.Here is a list of a few points that should be remembered while studying the types of triangles: Acute Scalene Triangle : A triangle that has 3 unequal sides and 3 acute angles is called an acute scalene triangle.Obtuse Scalene Triangle : A triangle with an obtuse angle with sides of different measures is called an obtuse scalene triangle.Right Scalene Triangle : A triangle in which any one of the angles is a right angle and all the 3 sides are unequal, is called a right scalene triangle.Acute Isosceles Triangle : A triangle in which all 3 angles are acute angles and 2 sides measure the same is called an acute isosceles triangle.Obtuse Isosceles Triangle : A triangle in which 2 sides are equal and one angle is an obtuse angle is called an obtuse isosceles triangle.So, in an isosceles right triangle, two sides and two acute angles are congruent. Isosceles Right Triangle: A triangle in which 2 sides are equal and one angle is 90° is called an isosceles right triangle.Equilateral or Equiangular Triangle : When all sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.The different types of triangles are also classified according to their sides and angles as follows: Students may be given the measurements of the sides or angles, or may have to measure them for themselves.Types of Triangle Based on Sides and Angles These worksheets explains how to classify triangles as isosceles, scalene, equilateral, right, acute, or obtuse. If none of the sides are equal length it is called a scalene triangle. If a triangle has two equal sides (in length) it referred to as isosceles. In an equilateral it has all equal side lengths. We can also classify them by their sides. ![]() We can classify them by the angles that exist with a triangle. We explore the six main classifications of triangles. Obtuse -Obtuse are those that have an angle that measures more than 90 degrees but less than 180 degrees.Īcute -Acute are those that have all the angles of less than 90 degrees.Įquiangular -Equiangulars are those that have all its angles of the same measurement. Right -Right are those that have at least one angle of 90 degrees. Scalene -Scalenes are those that have all three sides of different measurements.īased on their angles, triangles are classified as the following four types: Isosceles - Isosceles are those shapes that two sides of equal measurement We need two congruent angles.īased on their sides, triangles are classified as the following three types:Įquilateral - As the name implies, equilateral are those that have all the three sides of the same measurement. Obtuse versions have angles that are greater than 90 degrees and two acute angles. We need one right angle and two acute angles to make right angles. All three angles of an acute triangle are less than 90 degrees. All equilateral triangles are isosceles triangle that has two congruent sides of the triangle.Īngles - We can classify triangles by their angles and it has different types. All three sides of equilateral triangle have the same measurement. In an isosceles triangle, two sides have exactly the same measurement. Three sides of the scalene triangle have different measurements. ![]() You will need to mark triangle sides that are congruent. Sides - An accurate measurement of triangle sides helps us to classify triangles. We differentiate them by their sides or angles. These shapes has different type of shapes and sizes. The measurements of these angles and sides may be different or the same size, there only maybe one distinctive angle any two angles or sides may be of equal measurements. They are classified based on their angles and sides. Triangles are regular polygons with three sides and three angles. ![]()
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