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# Area of a Scalene Triangle | Formulas & Examples

A scalene triangle is a type of triangle in which all three sides have different lengths. This is in contrast to an equilateral triangle, in which all three sides have the same length, and an isosceles triangle, in which two sides have the same length. ## Area of Scalene Triangle Formula

The area of a scalene triangle can be calculated using Heron’s formula, which takes into account the lengths of all three sides.

Area of Scalene Triangle  = square root(s(s-a)(s-b)(s-c))

where a, b, and c are the lengths of the three sides, and s is the semiperimeter (half the perimeter) of the triangle.

### Area of Scalene Triangle With Base and Height

The area of a scalene triangle with base b and height h is:

Area = 1/2 x Base x Height

Area of a scalene triangle = 1/2 x b x h

Where “Base” is the length of the base of the triangle and “Height” is the perpendicular distance from the base to the opposite vertex.

### Area of Scalene Triangle Examples

Example 1: If we have a scalene triangle with a base of 12 units and a height of 5 units. Find the area of the triangle.

Area = 1/2 x Base x Height

Area = 1/2 x 12 x 5

Area of Scalene Triangle  = 30 square units

So the area of the triangle is 30 square units.

Example 2: If we have a scalene triangle with a base of 7 units and a height of 8 units. Find the area of the triangle.

Area = 1/2 x Base x Height

Area = 1/2 x 7 x 8

Area of Scalene Triangle = 28 square units