The different types of triangles are as follows:
Types of Triangle Based on Sides | Types of Triangles Based on Angles |
Equilateral Triangle | Acute-Angled Triangle (Acute Triangle) |
Isosceles Triangle | Right-Angled Triangle (Right Triangle) |
Scalene Triangle | Obtuse-Angled Triangle (Obtuse Triangle) |
What triangle has three unequal sides?
Three Types of Triangles
- Scalene triangles. In addition to having three unequal sides, scalene triangles have three unequal angles. ...
- Isosceles triangles. An isosceles triangle has two equal sides and two equal angles. ...
- Equilateral triangles. An equilateral triangle has three equal sides and three equal angles (which are each 60°). ...
What kind of triangles has only 2 equal sides?
Types of Triangles: Acute and Obtuse
- Obtuse Triangle Definition. An obtuse triangle is one that has an angle greater than 90°. ...
- Properties of Obtuse Triangles. ...
- Obtuse Triangle Formulas
- Special Obtuse Triangles. ...
- Acute Triangle Definition. ...
- Properties of Acute Triangles. ...
- Acute Angle Formulas
- Special Acute Triangles. ...
Which shape has 2 more sides than a triangle?
The simplest way to sort triangles is by their angle size:
- Acute triangle: An acute triangle is one in which all the angles are acute (less than 90°).
- Obtuse triangle: An obtuse triangle is one in which one of the angles is obtuse (more than 90°).
- Right triangle: A right triangle is one in which one of the angles is a right angle (exactly 90°).
What triangle has 2 lines of symmetry?
how many lines of symmetry does an isosceles triangle have
- Number of Lines of Symmetry of a Triangle – Equilateral, Isosceles & Scalene Triangles || Grade 6
- Lines of symmetry of an isosceles triangle. Geometry – Basic Terminology (19 of 34) FIND THE ERROR. What Are Lines of Symmetry? ...
- Reflectional Symmetry and Rotational Symmetry | Don’t Memorise
What triangle has at least two congruent sides?
When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent.
Does an equilateral triangle have 2 congruent sides?
Answer and Explanation: An equilateral triangle has three congruent sides.
What shapes have at least two congruent sides?
A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. (This definition excludes rhombi. Some textbooks say a kite has at least two pairs of adjacent congruent sides, so a rhombus is a special case of a kite.)
What type of triangle has 3 congruent sides?
equilateral triangleAnswer: The correct answer is equilateral. An equilateral triangle is a triangle with three congruent sides and three congruent angles.
What type of triangle has 3 congruent angles?
Equilateral triangleEquilateral triangle: three congruent sides and three congruent angles (three sides of equal length and three angles of equal measure).
How many sides has a Nonagon?
9Nonagon / Number of edges
Does a parallelogram have 2 pairs of congruent sides?
Lesson Summary. You have learned that a parallelogram is a closed, plane figure with four sides. It is a quadrilateral with two pairs of parallel, congruent sides. Its four interior angles add to 360° and any two adjacent angles are supplementary, meaning they add to 180° .Sep 8, 2018
Do scalene triangles have congruent sides?
A triangle can be classified by its sides: A triangle with no congruent sides is called scalene. A triangle with two congruent sides is called isosceles.
Write down the types of triangles classified based on its sides.
Based on the sides of a triangle, a triangle is classified into three different types, namely: Scalene Triangle Isosceles Triangle Equilateral T...
Mention the classification of a triangle based on its angle.
Based on the angles of a triangle, a triangle is classified as: Acute Triangle Right Triangle Obtuse Triangle
Define scalene, isosceles and equilateral triangle.
In a scalene triangle, all the sides of a triangle are of different length. In an isosceles triangle, two sides of a triangle are of the same measu...
Define acute, obtuse and right triangle.
In an acute triangle, all the angles of a triangle are less than 90 degrees. In an obtuse triangle, one of the angles of a triangle is greater tha...
Can an acute triangle be a scalene triangle?
An acute triangle can be a scalene triangle, isosceles triangle or equilateral triangle. The acute triangle can be drawn if the triangle has equal...
What are Congruent Sides?
In geometry, two sides are said to be congruent if they have the same length. For example, a square has four congruent sides, because it has four sides of the same length. To say two sides AB and CD are congruent, write {eq}AB\cong CD {/eq}.
Congruent Sides of a Triangle
Two sides of a triangle are congruent if they are the same length. In other words, two congruent sides of a triangle have the same measure. Consider the triangle ABC with two sides of length 5 and a side of length 6.
Classifications of Triangles
Triangles are classified by the number of congruent sides that they have. Due to the fact that triangles have only three sides, it must be that a triangle has either no congruent sides, two congruent sides, or three congruent sides. Thus, there are three classes of triangles.
What are the three types of triangles?
Based on the sides of a triangle, a triangle is classified into three different types, namely: Scalene Tri angle. Isosceles Triangle. Equilateral Triangle.
What is the name of the triangle with two equal sides?
You may come across triangle types with combined names like right isosceles triangle and such, but this only implies that the triangle has two equal sides with one of the interior angles being 90 degrees. The figure given below illustrates a right triangle.
What is an obtuse triangle?
Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle . The figure given below illustrates an obtuse triangle.
How many sides does an isosceles triangle have?
So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles. The figure given below illustrates an isosceles triangle.
What is an equilateral triangle?
Equilateral Triangle. In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. Since the angles of an equilateral triangle are same, it is also known as an equiangular triangle.
What is the name of the side of a right triangle?
A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse. You may come across triangle types with combined names like right isosceles triangle and such, but this only implies that the triangle has two equal sides with one of the interior angles being 90 degrees. The figure given below illustrates a right triangle.
How many degrees are there in an acute triangle?
In an acute triangle, all the angles of a triangle are less than 90 degrees.
What is a triangle with three congruent sides called?
Finally, a triangle with three congruent sides is a special type of isosceles triangle and is more specifically called equilateral .
What is the congruence of sides in a triangle?
Congruency between sides of a triangle is indicated by an equal number of hash marks through the respective sides. First of all, a triangle with no congruent sides is called scalene. The unequal number of hash marks in each side indicates that no two sides have the same length.
What does the hash mark on the sides of an isosceles triangle mean?
The hash marks indicate that this is an isosceles triangle and that sides AC and AB have the same length. We can write the following equation:
Which theorem states that the angles opposite congruent sides of a triangle are also congruent?
Isosceles Triangle Theorem. The Isosceles Triangle Theorem states that the angles opposite congruent sides of a triangle are also congruent. In other words, these angles have the same degree measure. Let's do a proof to show that this is true.
What are the sides of a triangle?
The sides of a triangle are segments . In geometry, if two segments are congruent, then they have the same length or measure. In other words, congruent sides of a triangle have the same length. A triangle can be classified by its sides:
Is angle B congruent to angle C?
7. Angle B is congruent to angle C (we know this corresponding parts of congruent triangles are congruent).
Is segment BX congruent to segment XC?
4. Segment BX is congruent to segment XC ( X is the midpoint of segment BC ).
What are the types of triangles based on sides?
Q.1. Explain types of triangles based on sides?#N#Ans: Based on sides, a triangle can be classified as:#N#1. Isosceles triangle: A triangle with at least two sides equal#N#2. Equilateral triangle: A triangle with all the sides equal#N#3. Scalene triangle:If the three sides of a triangle are unequal, i.e., if the sides are of different lengths
What is a triangle with two sides equal?
A triangle with at least two sides equal is called an isosceles triangle.
How many interior angles are there in an equilateral triangle?
Since the sum of all the three interior angles of every triangle is 180 ∘, therefore each interior angle of an equilateral triangle = 180 ∘ 3 = 60 ∘.
What is an acute angled triangle?
If each angle of a triangle is acute (less than 90 ∘ ), it is called an acute-angled triangle.
What is a triangle with all sides equal called?
A triangle with all the sides equal is called an equilateral triangle.
How many types of triangles are there?
The sum of all the interior angles of a triangle adds up to 180 ∘. Triangles can be divided into six types based on the properties of their angles and their sides.
What is the area of the isosceles triangle?
Hence, the area of the isosceles triangle = 1 2 × b a s e × h e i g h t = 1 2 × B C × A D = 1 2 × b × a 2 – b 2 4
How many angles does an obtuse triangle have?
All equiangular triangles are equilateral. A right triangle will have 1 right angle and 2 acute angles. An obtuse triangle will have 1 obtuse triangle and 2 acute angles. Return to the Triangle Classification Menu.
What is an acute triangle?
acute triangle- a triangle with 3 acute angles