Math Basics | Finding the Area of a Triangle Using Different Formulas

what is the formula for finding Area of a triangle?

The formula for finding the area of a triangle depends on the information given about the triangle

The formula for finding the area of a triangle depends on the information given about the triangle. There are three common scenarios:

1. If you know the base and height of a triangle, you can use the formula:

Area = (base × height) / 2

In this formula, the base is the length of the triangle’s base (the bottom side), and the height is the perpendicular distance from the base to the opposite vertex.

2. If you know the lengths of all three sides of a triangle (a, b, and c), you can use Heron’s formula to find the area:

Area = √[s(s – a)(s – b)(s – c)]

where s is the semi-perimeter of the triangle, given by:

s = (a + b + c) / 2

3. If you know the coordinates of the vertices of a triangle, you can also find the area using the shoelace formula:

Area = 1/2 |(x₁y₂ + x₂y₃ + x₃y₁) – (x₂y₁ + x₃y₂ + x₁y₃)|

In this formula, (x₁, y₁), (x₂, y₂), and (x₃, y₃) are the coordinates of the three vertices of the triangle.

Remember to use the appropriate formula based on the given information.

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