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Triangular shapes are one of the most basic and common geometric figures. They are found in various branches of science, mathematics, and everyday life. From the pyramids of Egypt to the rooftops of houses, triangles have always fascinated and served humans in numerous ways. However, not all triangles are created equal. There are different types of triangles based on their side lengths and angle measures. In this guide, we will explore the various ways to distinguish between different triangle shapes, helping you identify them with ease and confidence. Whether you are a student learning geometry or simply someone curious about the shapes that surround us, understanding triangle classification will undoubtedly enhance your knowledge of this fundamental geometric figure. So let’s dive in and explore how to distinguish triangle shapes.
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When it comes to geometry, everyone probably thinks of comparing and distinguishing shapes, lines, and angles. Triangles can be classified according to 2 different factors. And a triangle can be named after the angles or sides of the shape, or both. With the guidelines for classifying triangles below, you can name each triangle yourself.
Steps
Classification of Triangles by Side
- If a triangle has at least 2 sides of equal length, it is classified as an isosceles triangle.
- If the triangle has 3 sides of equal length, it is called an equilateral triangle.
- If a triangle has no equal sides, it is an ordinary triangle.
Classification of Triangles by Angle
- The sum of the 3 angles of a triangle will always equal 180 degrees.
- A triangle is an obtuse triangle if any angle has a measure greater than 90 degrees. In an obtuse triangle there is only one obtuse angle.
- If the triangle has a right angle of 90 degrees, it is called a right triangle. A right triangle also has only one right angle.
- An acute triangle is a triangle with three angles measuring less than 90 degrees.
- If a triangle has 3 equal acute angles, then it is an equilateral triangle. In an equilateral triangle, all 3 angles measure 60 degrees, because the sum of the 3 interior angles of a triangle always equals 180 degrees.
Advice
- An equilateral triangle can also be classified as an isosceles triangle, because it has at least two sides that have the same measure.
Warning
- Both obtuse and right triangles have acute angles. However, these two types of triangles cannot be classified as acute triangles, because an acute triangle must have 3 equilateral acute angles.
- When measuring the sides and angles of a triangle, a ruler should always be used, not estimated by the naked eye. Because lines or angles can be seen equal, they may in fact be disparate. If the measurement of sides and angles is wrong, it will affect the classification of triangles.
Necessary tools
- Ruler
- Measure
wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, 12 people, some of whom are anonymous, have edited and improved the article over time.
This article has been viewed 80,785 times.
When it comes to geometry, everyone probably thinks of comparing and distinguishing shapes, lines, and angles. Triangles can be classified according to 2 different factors. And a triangle can be named after the angles or sides of the shape, or both. With the guidelines for classifying triangles below, you can name each triangle yourself.
In conclusion, distinguishing different triangle shapes can be achieved by paying attention to their side lengths and angle measurements. Equilateral triangles have three equal sides and three equal angles of 60 degrees, while isosceles triangles have two equal sides and two equal angles. Scalene triangles have no equal sides or angles. Right triangles have one 90-degree angle, while obtuse triangles have one angle greater than 90 degrees and acute triangles have three angles less than 90 degrees. By analyzing these characteristics, one can easily identify and distinguish between various triangle shapes.
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