If you have the three side lengths of a triangle and want to find its area, then you'll need to use Heron's formula. Heron's formula is a mathematical equation that calculates the area of a triangle given its three side lengths. This tutorial will show you how to use a Heron's Formula Triangle Area Calculator and explain the formula used to calculate the area of a triangle.
| Units | |
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| Area of Triangle = |
| Value of S = (A+B+C)/2 = |
The first step in using a Heron's Formula Triangle Area Calculator is to input the side lengths of the triangle. You'll need to input the length of all three sides of the triangle into the calculator. For example, if the side lengths are 5, 6, and 7, then you would input those three numbers into the calculator.
The next step is to calculate the semi-perimeter of the triangle. The semi-perimeter is half the perimeter of the triangle, which is calculated by adding the lengths of all three sides and then dividing by 2. In our example, the semi-perimeter is calculated as follows:
(5 + 6 + 7) ÷ 2 = 9
Finally, to calculate the area of the triangle using Heron's formula, you need to use the following equation:
where s is the semi-perimeter and a, b, and c are the lengths of the three sides of the triangle.
Using our example values, the area of the triangle can be calculated as follows:
Area = √(9 × 4 × 3 × 2)
Area = √(216)
Area ≈ 14.7
Using a Heron's Formula Triangle Area Calculator can help you quickly and easily calculate the area of a triangle with just its three side lengths. By following the steps outlined in this tutorial and using Heron's formula, you can calculate the area of any triangle without needing to know its height or base.
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