Suppose we have a scalene triangle with sides a = 5, b = 6, and c = 7. Let’s look at an example of a scalene triangle to understand the calculations better. ![]() Once the semi-perimeter (s) is calculated, you can substitute the values of a, b, c, and s into the formula to find the area:Īrea = √(s(s-a)(s-b)(s-c)) Scalene Triangle Examples Area of a Scalene TriangleĪs mentioned earlier, the area of a scalene triangle can be found using Heron’s formula. Since all sides are unequal, the perimeter is unique for each scalene triangle. Where a, b, and c are the lengths of the triangle’s sides. The perimeter of a scalene triangle is calculated by adding the lengths of all three sides: S = (a + b + c) / 2 Perimeter of a Scalene Triangle The semi-perimeter is calculated using the formula: Where s is the semi-perimeter of the triangle, and a, b, and c are the side lengths of the triangle. It is named after the ancient Greek mathematician, Heron of Alexandria. To find the area of a scalene triangle, the Heron’s formula is used. These distinctions help in understanding the unique characteristics of each type of triangle and how they differ from one another.
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