# Types Of Triangles And Their Properties Pdf

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Published: 15.05.2021  Properties Of Triangles: Triangle is an important geometrical shape that is taught in school from primary classes till Class A lot of different concepts related to Triangles, from simple to more complex, are covered under Geometry, Mensuration, and Trigonometry. It is important not only for school-level and board exams but also for various other competitive exams, like CAT, MAT, and exams for government job recruitment.

In this article, we are going to learn about the simplest form of a polygon, a triangle.

In the series on the basic building blocks of geometry, after a overview of lines, rays and segments, this time we cover the types and properties of triangles. A triangle consists of three line segments and three angles. Equilateral triangle : A triangle having all the three sides of equal length is an equilateral triangle.

## Equilateral triangle

In the series on the basic building blocks of geometry, after a overview of lines, rays and segments, this time we cover the types and properties of triangles. A triangle consists of three line segments and three angles.

Equilateral triangle : A triangle having all the three sides of equal length is an equilateral triangle. Isosceles triangle : A triangle having two sides of equal length is an Isosceles triangle.

Scalene triangle: A triangle having three sides of different lengths is called a scalene triangle. Acute-angled triangle: A triangle whose all angles are acute is called an acute-angled triangle or Acute triangle. Obtuse-angled triangle: A triangle whose one angle is obtuse is an obtuse-angled triangle or Obtuse triangle. Right-angled triangle: A triangle whose one angle is a right-angle is a Right-angled triangle or Right triangle. Only a triangle that satisfies this condition is a right triangle.

There are different types of right triangles. As of now, our focus is only on a special pair of right triangles. An exterior angle of a triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle. Similarity and Congruency in Triangles Figures with same size and shape are congruent figures. If two shapes are congruent, they remain congruent even if they are moved or rotated. The shapes would also remain congruent if we reflect the shapes by producing mirror images.

Two geometrical shapes are congruent if they cover each other exactly. Figures with same shape but with proportional sizes are similar figures. They remain similar even if they are moved or rotated. Two triangles are said to be similar if the corresponding angles of two triangles are congruent and lengths of corresponding sides are proportional. If three sides of a triangle are proportional to the corresponding three sides of another triangle then the triangles are said to be similar. If the corresponding two sides of the two triangles are proportional and one included angle is equal to the corresponding included angle of another triangle then the triangles are similar.

If the three corresponding angles of the two triangles are equal then the two triangles are similar. Two triangles are said to be congruent if all the sides of one triangle are equal to the corresponding sides of another triangle and the corresponding angles are equal.

If three sides of a triangle are equal to the corresponding three sides of another triangle then the triangles are said to be congruent. If two sides and the angle included between the two sides of a triangle are equal to the corresponding two sides and the included angle of another triangle, then the triangles are congruent.

To find the area of a triangle, we draw a perpendicular line from the base to the opposite vertex which gives the height of the triangle. For an obtuse triangle, we extend the base and draw a line perpendicular from the vertex to the extended base which becomes the height of the triangle. Both are right triangles B. Both are not right triangles. The triplet that satisfies the Pythagorean theorem is the set of sides that makes a right triangle.

When two triangles are similar, their corresponding angles are equal and the corresponding sides are proportional. Come on MBA crystal ball, this post is not up to your standards.

A lot of improvement has to be done on defining the types of triangles. Please elaborate the properties of different triangles.

Or is it that the length of the longest side should be smaller than the sum of the lengths of the other two sides? Correct me if i am wrong. The perpendicular can be taken as common side and taking that side will also prove ASA congurency rule. Your email address will not be published. Tags gmat quantitative. Click here to watch this insightful video.

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Comparing Numbers. Daily Math Review. Division Basic. Division Long Division. Hundreds Charts. Multiplication Basic. Types of triangles based on their sides. 1. Scalen An isosceles triangle is a triangle that has two equal sides. Exterior angle of a triangle and it's property Click here to download the PDF of this page (right click and click save target as).

## Triangle Classification

Triangles can be classified by various properties relating to their angles and sides. The most common classifications are described on this page. The Equilateral triangle shown on the left has three congruent sides and three congruent angles. The Isosceles triangle shown on the left has two equal sides and two equal angles. The Scalene Triangle has no congruent sides.

The basic elements of any triangle are its sides and angles. Triangles are classified depending on relative sizes of their elements. This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. A triangle is scalene if all of its three sides are different in which case, the three angles are also different.

Here's how you turn an A4 sized sheet of paper to an equilateral triangle shape. Remember, remember the equilateral triangle. The Equilateral Triangle with same lengths and angles. #### Types of triangles based on angles

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12.07.2021 at 14:25

1. Lola M.

right-angled triangle. one angle of 90° obtuse-angled triangle. one angle greater than 90° acute-angled triangle. three angles all less than 90° Sum of the angles = ° A pentagon has 5 sides. A hexagon has 6 sides. An octagon has 8 sides. A triangle has 3 sides. Sum of the angles = ° equilateral triangle. scalene.

2. Artus D.

In geometry , an equilateral triangle is a triangle in which all three sides have the same length.

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