What are Triangles? – Types, Properties and Example

What are Triangles in Geometry?

A triangle is a polygon with three sides. Triangles are named according to their three sides. A triangle with three equal sides is called an equilateral triangle. A triangle with two unequal sides is called a scalene triangle. A triangle with one right angle is called a right triangle. What are Triangles – Types, Properties and Example.

Types of Triangles

A triangle is a polygon with three sides and three angles. There are many different types of triangles, each with different properties.

The three most common types of triangles are the equilateral triangle, the isosceles triangle, and the scalene triangle.

An equilateral triangle has three sides of the same length and three angles of 60 degrees each.

An isosceles triangle has two sides of the same length and two angles of the same size.

A scalene triangle has three sides of different lengths and three angles of different sizes.

Other types of triangles include the right triangle, the acute triangle, and the obtuse triangle.

A right triangle has one right angle, and the other two angles are acute.

An acute triangle has all three angles less than 90 degrees.

An obtuse triangle has one angle that is greater than 90 degrees

Properties of a Triangle

A triangle has three sides and three angles. The angles are named according to their location: the angle in the corner is the “angle at the corner”; the angle next to that is the “angle next to the corner”. The third angle is the “angle in the middle”. The length of the sides are named according to their location: the side next to the angle at the corner is the “side next to the corner”; the side next to that is the “side next to the side next to the corner”. The third side is the “third side”.

Properties of Median in a Triangle

A median in a triangle is a line segment that connects the midpoints of the two sides of the triangle. The properties of a median in a triangle include that the median is equidistant from the sides of the triangle, the median is perpendicular to the side it connects, and the median divides the triangle into two equal parts. Additionally, the median is the shortest path between two points on a triangle.

SSS (Side-Side-Side)

This is a very simple play that can be used when you have a player open on one side of the field and another player open on the opposite side.

The player with the ball will pass to the player open on the opposite side of the field. The player receiving the ball will then pass back to the player who passed it to them. This can be done over and over again.

SAS (Side-Angle-Side)

This is the most common type of triangle. All three of its angles are different, and two of its sides are different lengths.

ASA (Angle-Side-Angle)

AASA is an acronym for Angle-Side-Angle. The AASA postulate states that if two angles are congruent and the sides opposite those angles are congruent, then the two triangles are congruent.

AAS (Angle-Angle-Side)

The AAS triangle theorem states that if two angles and the side between them are given, then the triangle is determined.

RHS (Right Angle-Hypotenuse-Side)

A right triangle’s RHS is the length of the hypotenuse.

Example of a Congruent Triangle

A triangle is congruent if it has the same shape and size as another triangle. In order to determine if two triangles are congruent, you must first determine if the three corresponding sides are equal in length and if the three corresponding angles are equal in measure. If the sides and angles are equal, then the triangles are congruent.

The following triangle is an example of a congruent triangle. The three corresponding sides are equal in length, and the three corresponding angles are equal in measure. Therefore, the triangle is congruent. What are Triangles? – Types Properties and Example.