Calculate the area of a triangle is a very simple operation given the simplicity of this geometric figure. The triangle area calculator makes it easy to obtain the area of the triangle by multiplying the base by the height and dividing the result by two.
Formula for the area of a triangle
For calculate the area of a triangleIf the surface area of this figure is equal to the multiplication of its base (b) by the height (h) divided by two, we have to apply a simple mathematical formula that says that the surface area of this figure is equal to the multiplication of its base (b) by the height (h) divided by two.
This can be summarized as follows mathematical formula:
Area of a triangle = (Base x Height) / 2
For example, we are going to calculate the area of a triangle like the one in the figure just above these lines.
We can see that the base measures 6 and the value of the height is 7, therefore, we apply the formula to calculate its area and we obtain that:
Area = (6 x 4) / 2 = 12
Easy, isn't it?
Heron's formula, another way of calculating area
Yes we have the length of the three sides of the triangle and we do not know its height, we can use Heron's formula to calculate the area.
In this case, the process is divided into two distinct steps. First, we have to calculate the semiperimeter of the figure, i.e., we have to add the value of its sides and divide the result by two.
Semiperimeter (s) = (a + b + c) / 2
When we have the calculated semiperimeter, we apply Heron's formula which has this shape:
Let's calculate the area of the triangle from the previous method using this new method.
First we calculate the semiperimeter by adding all the sides of the figure:
s = (5 + 5 + 6) / 2 = 8
Now we apply Heron's formula.
Area =√ [8 x (8 - 8) x (8 - 9) x (8 - 6)] = 12
If you do not have the height, use Pythagoras to calculate it.
If the first formula for calculating the area of the triangle seems simpler, but we do not have the height of the figure, we can easily calculate it by using the Pythagorean Theorem.
You just have to draw the height line and assign the value of the hypotenuse and the cathetus in the calculator that we have left in the previous link. When you press the calculate button, find out the value of the remaining cathetus and ready, you can apply the formula Á = (Base x Height) / 2
Calculate perimeter of a triangle
The perimeter of a triangle is the total length that comes out of the sum of the three sides of the figure. In the case of an equilateral triangle that has three sides of the same length, the calculation of the perimeter is simple, but what if it is any other type of triangle?
In such cases, you have the triangle perimeter calculator to know the total length of an isosceles, scalene or equilateral triangle.