How to get the AREA of a SCALENE triangle
In this new opportunity, from a Professor, we bring you a topic related to geometry. In particular, it is about how to perform the calculating the area of a scalene triangle. To address this topic, we are going to start by reviewing some basic concepts so that you can refresh this type of knowledge. First, we will talk about the concept of area in geometry; Then, we will introduce you to the concept of the scalene triangle and its most characteristic features. In the third section, we will show you how to find the area of a scalene triangle; and finally, we provide you with a exercise with solutions so that you can practice the theoretical concepts seen in this lesson that concerns us. Go for it!
Index
- Concept of area in geometry
- What is a scalene triangle
- How to Find the Area of a Scalene Triangle
- Exercise to calculate a scalene triangle
Concept of area in geometry.
The area is a fundamental element in mathematics, more specifically in the field of
geometry. Area is used to calculate the physical space of a figure and also to provide the foundation for more advanced mathematics. The knowledge or concept of the area is used in many professions on a daily basis such as architecture, engineering and even graphic design; and it is very useful for any activity for the common population. Understanding how much space you have and how to make the best use of it will always be useful for any daily activity you are doing.This is how area in geometry represents the amount of surface that a figure occupies in a given space. It is also important to mention in this lesson that area is measured in square units; for example, centimeters squared, meters squared, miles squared, etc.
The area is calculated using a specific formula. Each figure has a certain formula to know its area. In the corresponding section we will show you which one you should use to calculate the area of a triangle.
As we have already told you, in a next section we will propose some examples so that you can appreciate what we have commented in these paragraphs of exclusively theoretical content.
What is a scalene triangle.
Before telling you how to find the area of a scalene triangle, it is important that we know its meaning well. As you may already know, there are different types of geometric figures. One of the most common and famous figures is the triangle; characterized by having three sides and three angles, which are joined in space by three vertices. Also, the triangle has different shapes and types, within these shapes there is a so-called scalene triangle.
The scalene triangle it is distinguished because none of its three sides are the same; that is, none of its three sides has the same measure or length; and therefore none of its three angles are equal.
In this lesson, in the next section, our objective will be to explain how the area of this type of scalene triangles is calculated.
How to find the area of a scalene triangle.
Having said all of the above, in this section it is up to us to show you how the area of a scalene triangle is calculated. This is done through a simple formula. Always taking into account that they provide you with all the data in the example or exercise that you are going to carry out. The formula for the area of a scalene triangle is the next:
Area = (b) x (h) / 2
Where h = height of the triangle; b = base of triangle
As we have told you before, always counting on them to provide you with all the data to calculate this area. We also leave you an image so that you can appreciate what a scalene triangle looks like and where you can identify the base (b) and the height (h) of this specific figure.
Exercise to calculate a scalene triangle.
Here we leave you a example of how the practical calculation would be for this type of formula and to be able to know the area of a scalene triangle.
We remind you first, that once the area has been calculated, you must write the corresponding unit of measurements, and this must always be in squared units (for this example we will use centimeters)
Example:
- Triangle height = 9
- Base = 12
- Area = 9 x 12/2 = 54 cm2
Therefore, the area of this scalene triangle is 54 cm2.
As is customary for us, from a Professor, we continue to encourage you to continue your training in this subject and in others related to mathematics and geometry. Whenever you have any questions, concerns or simply want to learn about these topics, you can consult at any time our website and there you will find lessons and videos that can help you in your training academic.
If you want to read more articles similar to How to Find the Area of a Scalene Triangle, we recommend that you enter our category of Geometry.
