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#### What Is A Triangle: Types And Properties Of It. How To Calculate Area?

Referencing Styles : APA | Pages : 1
• Course Code: MITS5003
• Course Title: What Is A Triangle: Types And Properties Of It. How To Calculate Area?
• University: Angila Ruskin University
• Country: GB

### Triangle

Triangle is a polygon that has three edges along with three vertices. Triangle is considered as one of the basic shapes in geometry. As per Euclidean geometry any three points with a unique and non collinear structure are considered as triangles. There are only one plane that consists a triangle. In case of Euclidean geometry there is only one plane and all the triangles are located in this plane. Generally triangles are considered as two dimensional structures. Only in case of non planar this fact gets challenged. It is calculated that the sum of interior angles of a triangle is 180°. This is the reason if the angle of 2 sides are known, it gets easy to find the angle of the third side. Usage of exterior angle theory is used for calculating the exterior measures. It is stated that the measurement of three exterior angle is 360°. Triangle is a closed plane figure that ensures better assessment of three sides along with the three angles. A flat triangular piece is used for detecting triangles.

### Different Types of triangle

The different types of Triangles are as follows: -

• Equilateral Triangle

In geometrical aspect it is stated that an equilateral triangle is a triangle that has all the three sides similar in nature. As per Euclidean geometry, the equilateral triangles are considered to be the equiangular. It is also stated that the triangles that are equivalent in nature have internal angles which are congruent in nature. All the three angles of the equilateral triangle are having 60° each. Equilateral triangle is considered as a regular polygon which is considered as a regular triangle. In case of equilateral triangle, Pythagorean Theorem is used for finding the area of the triangle. In case the triangles are having three altitudes in equal length and the three medians are also in equal length along with the bisectors, the triangles are said to be equilateral triangle.

• Isosceles triangle

In case of the Isosceles triangle the main aspect that is considered is that three of the two sides are equal. Isosceles triangles are considered as a special case of equilateral triangles. Isosceles Right triangle along with the golden triangles are considered as Isosceles triangle. As per the traditional definition, Isosceles triangles are the triangles that has 2 equal sides, whereas as per modern definition, the main aspect that is considered is that Isosceles triangles must be having a minimum of two sides equal. A special case of Isosceles triangle is that both the angles are having 45° and the length of the 1 respectively in 2 sides. With the help of the Pythagorean Theorem, the length of the hypotenuse is found. There are different sections of triangle which includes acute, right or obtuse triangles that is dependent on the angle that is present in the triangle.

• Right angled triangle

A triangle that has an angle of 90° angle. The relation that is being established in the section includes usage of trigonometry for the formation of the relation in between the angles and vertices of the triangle. The side of the right angle triangle is termed as hypotenuse. The sides that are adjacent in the case will be having a proper sectioning of the adjacent side angles. The triangle is said to be a Pythagorean triangle as it includes sectioning of the identified side lengths. In this case the main aspect that is considered will be enhancing the naming of Pythagorean triple. The area that is considered in this section is that the area is T=1/2 ab. In case the sectioning of the altitude is drawn, the main aspect that the processing of hypotenuse will be performing geometric mean will be providing segments of hypotenuse.

• Scalene triangle

A scalene triangle is a triangle that has 3 different sides. Hence wise it can be stated that the angle that is formed is due to the meeting of the three angles has been differential in nature. Scalene triangles are triangles are defined in an unusual manner. This is the major aspect that the triangles that are formed are random and scalene in nature. It is stated that the interior angles of the scalene triangle have been different. Usage of Heron’s formula for calculating the area of the scalene triangle is used.

• Acute triangle and obtuse triangle

An acute angle is concerned with dimensions lower than 90° angle. In other hand the obtuse angle is the triangle that has an angle that is more than that of 90° angle. An obtuse triangle is concerned with the triangles that has an angle that is more than 90° angle. Polygon vertices has been a section that will be concerned for performing better angle detection. Unfortunately the solution that is stated as per the random point integrates the aspect that better assessment of uniform distribution is made. Proper estimation of diameters are also considered for performing assessment of the area of the triangle.

### Properties of triangle

The properties that are to be considered for the execution of the project are as follows: -

• The sum of the triangles are 180° angle. This is the major reason that the functioning section will be having a better angle sum property. As per the interior and exterior angles the main aspect that is considered is that the story about the triangles and the total degrees are concerned with better geometric vocabulary system. There is a differentiation in between the interior and exterior angles. After rotating the sectioning of the horizontal sectioning of the bottom right section. This is the main aspect that the degree that is assumed is 180° angle
• The sum of the length of the two sides has been greater than one side of the triangle. As per the difference in between the length of the third side is also considered. Hence wise after proper assessment it can be stated that the length of the sides are considered. This is the main reason that different sides are detected as per the understanding of the formulas.
• The side that is opposite to the largest angle has been the longest side of the triangle as per the side being opposite to the smallest angle as per in the shortest side of the triangle. This section is concerned with the both the length of the triangle in a manner that has 2 sides longer and 1 side smaller than both the other side.
• The sum of the exterior triangle is based on the interior and opposite angles that are considered.
• In case that two triangles are similar, it can be stated that the triangles are congruent in nature and hence wise proportional as well.
• Another criterion of similarity is stated with SSS criterion. Side Side Side Criterion is followed in calculation of proportional correspondence of similar triangles. In case the three side of the triangles are equal, it can be said that 2 triangles are equal.
• Usage of the Side Angle Side criterion is also considered for proposing of the triangle property. Corresponding triangle that have one angle and 2 sides to be equal, the triangles are said to be similar in nature.

### How to calculate Area, Altitude, Height and base of the triangle?

Area: 1/2 bh

Altitude: Pythagorean Theorem is used for finding the altitude of the triangle

Height: 2A/b

Base of the triangle: 2A/h

These are the formulas that are to be used for calculating the Area, Altitude, Height and base of the triangle. Usage of Pythagorean Theorem will be enhancing the functioning process of the data calculation and data assessment.

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