Triangle area calculator
What is a Triangle Area Calculator?
A triangle area calculator is a tool that is designed to calculate the area of a triangle based on its dimensions. Typically, a triangle area calculator requires three inputs: the length of the base, the length of the height, and the type of triangle. The type of triangle refers to whether the triangle is equilateral, isosceles, or scalene. Once these inputs are provided, the calculator will use a formula to determine the area of the triangle.
Formula for Calculating the Area of a Triangle
The formula for calculating the area of a triangle is relatively simple. The area of a triangle can be calculated using the following formula:
Area = (1/2) x base x height
In this formula, the base refers to the length of the bottom side of the triangle, and the height refers to the length of the line that is perpendicular to the base and passes through the opposite vertex. The (1/2) is a constant value that is used to account for the fact that a triangle is half of a parallelogram with the same base and height.
Using a Triangle Area Calculator
To use a triangle area calculator, you will need to provide the tool with the required inputs. The base and height values can be measured using a ruler or other measuring tool, while the type of triangle can be determined based on the lengths of the sides. For example, an equilateral triangle has three sides that are equal in length, while an isosceles triangle has two sides that are equal in length.
Once you have provided the required inputs, the calculator will use the formula to calculate the area of the triangle. The result will typically be displayed in the same units as the inputs. For example, if you provide the base and height values in centimeters, the area will be displayed in square centimeters.
Advantages of Using a Triangle Area Calculator
There are several advantages to using a triangle area calculator. One of the most significant advantages is that it can save time and reduce the risk of errors. Calculating the area of a triangle by hand can be a complex and time-consuming process, particularly if the triangle has irregular dimensions. Using a calculator can make the process much quicker and more accurate.
Another advantage of using a triangle area calculator is that it can be used to check your work. If you have calculated the area of a triangle by hand and want to check your answer, you can use a calculator to confirm that your result is correct. This can be particularly helpful if you are studying for an exam or working on a project that requires precise measurements.
Finally, a triangle area calculator can be a useful learning tool. By using a calculator to calculate the area of a triangle, you can gain a better understanding of the formula and how it works. This can be particularly helpful for students who are learning about geometry for the first time or who are struggling to understand a particular concept.
Triangle
"A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted . In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane (i.e. a two-dimensional Euclidean space)."source: wikipedia
Types of triangle
There are three types of triangle based on the length of sides and angles.
Types based on sides length
Equilateral triangle
Triangle which have three of it's sides are equal in length is called equilateral triangle
Isoceles Triangle
The triangle which has two of it's sides are eqaul is called isoceles triangle.
Scalene Triangle
The triangle which has no of it's sides are equal is called the scalene Triangle.
Triangle Area Formula
Trinagle is most familiar shape of polygon.The General formula for every triangle to calculate the area of triangle is Heron's formula
general formula for area of triangle
where a,b,c are the sides of triangle.
Equilateral Triangle Area Formula
Isoceles Triangle Area Formula
Where
b = length of base of triangle
h = heigh or altitude of the triangle
Scalene Triangle Area Formula
Area of the scalene triangle with two know sides and angle between them
- when two sides a , b and angle between theme
Area=(1/2) ab x sin C
- when two side b, c and angle between them
Area=(1/2) bc x sin A
- when two side c, a and angle between them
Area=(1/2) ca x sin B
How to calculate the area of triangle?
For calculating area of triangle you will have to provide the value of following
- length of three sides of triangle
- Two sides and angle between them
- two angle and side between them
- three points of triangle (x1,y1) (x2,y2) (x3,y3)
and our calculator will calculate the area for you.