A triangle is symbolized by three dots or three line segments that meet at a common apex. Hence knowledge of triangles and the area of triangle with 3 sides formula is important to understand geometry problems. Geometry introduces us to various kinds of triangles such as the right triangle, isosceles triangle, equilateral triangle, scalene triangle.
A triangle, in geometry, is a three-sided polygon. The sum of the internal angles of any particular triangle is 180 degrees. The area of a triangle is equal to one-half the length of its base times the height of the triangle. The area of right triangle has been used in architecture for designing buildings and homes.
A right triangle has one internal angle that is 90 degrees, while an isosceles triangle has two equal internal angles that are both equal to 90 degrees. A scalene triangle does not have all three sides of the same length. The word scalene means unequal. The difference between right and isosceles triangles from a structural design point of view is that all right triangles are considered to be strong structures; Isosceles triangles are considered to be weak structures; Scalene triangles can fall either way.
One of the most notable uses of this is in designing buildings in order to have an even weight distribution. When the area of triangles is utilized, they can be used to help design the shape and structure of a building so that it will sit evenly on its base. This will help avoid having any wobbling or tipping issues because there are no additional weights on one side’s corner.
Another example is when it comes to doors, as these also need an even weight distribution throughout them so that they open evenly and without any issues. Triangles have been used throughout history as a tool for navigation and data recording because of their ability to create accurate angles for determining longitude and latitude based on the altitude above the earth’s surface with respect to true north (which is always identical to the direction of Polaris, or North Star).
Triangles can be used to create an inverted prism, with the triangle’s base at the bottom and its apex at the top forming an apex angle of 180 degrees. This principle of a triangular base may be used to form buildings such as gazebos, pergolas, or arches. The area of a triangle’s surface can also be used to calculate the volume of these shapes using simple math.
Swings, slides, and even merry-go-rounds abide by the properties of triangles. This is because there are two types of triangles (right and isosceles). A right triangle has one internal angle that is 90 degrees, while an isosceles triangle has two equal internal angles that are both equal to 90 degrees. Triangles have been used for thousands of years as one of the fundamental shapes for drawing or building in architecture and construction.
The area of triangles in engineering is considered in several ways. For example, when building planes with straight wings, the wing is broken down into a series of triangles. This is because it is easier to put triangle sections together than larger polygons like squares and rectangles. When constructing bridges, there are all different types of triangles that make up the structure. There are also all sorts of mechanical and structural connections within these bridges that make use of triangles in their buildup.
Also Read: Addition and Subtraction of Polynomials
Thus, considering the utility the triangular shape has in various spheres of life, it is good to have a thorough understanding of the underlying concepts. Geometry worksheets are a great way to practice a variety of problems on triangles. These worksheets can be easily downloaded from the internet. One such website is Cuemath which provides geometry worksheets for the students. These are free and easy to download and provide an in-depth understanding of the subject if the student practices the questions in these worksheets.