To calculate the square meters of a triangle, you won't need a special measuring device. Square units gauge a triangle's area, the two-dimensional space inside its three sides. After measuring the triangle's sides in meters, you use a triangular area formula to determine the number of square meters in the triangle's area. One such formula is called Heron's formula, and it works for any type of triangle.
The formula to calculate the area of a triangle using Heron's formula is:
\[ \text{Area} = \sqrt{s(s-a)(s-b)(s-c)} \]
Where:
To calculate the area of a triangle using Heron's formula, you need to:
For a triangle with sides measuring 6 meters, 8 meters, and 10 meters:
\[ \text{Semi-perimeter} = \frac{6 + 8 + 10}{2} = 12 \, \text{meters} \] \[ \text{Area} = \sqrt{12(12-6)(12-8)(12-10)} = \sqrt{12 \times 6 \times 4 \times 2} = \sqrt{576} = 24 \, \text{square meters} \]
