Calculating the Area of a Triangle | Formulas for Different Scenarios

Area formula of a triangle

The formula to find the area of a triangle depends on the information you have about the triangle

The formula to find the area of a triangle depends on the information you have about the triangle. Here are the formulas for different scenarios:

1. If you know the base (b) and the height (h) of a triangle, the formula for the area (A) is:
A = (1/2) * b * h

2. If you know the lengths of all three sides of a triangle, you can use Heron’s formula. Let the lengths of the sides be a, b, and c, and let s be the semi-perimeter of the triangle (s = (a + b + c)/2). Then, the area (A) is given by:
A = √(s * (s-a) * (s-b) * (s-c))

3. If you know the lengths of two sides (a and b) of a right triangle and you want to find the area (A), you can use the formula:
A = (1/2) * a * b

4. Lastly, if you know the coordinates of the three vertices of a triangle in a coordinate plane, you can use the Shoelace formula to find the area. Let the coordinates of the vertices be A(x1, y1), B(x2, y2), and C(x3, y3). The formula is:
A = (1/2) * |(x1 * y2 + x2 * y3 + x3 * y1) – (y1 * x2 + y2 * x3 + y3 * x1)|

Remember to use the appropriate formula based on the given information to calculate the area of a triangle.

More Answers: