How to Calculate the Area of a Triangle | Formulas and Methods

Area of triangle

The area of a triangle is the measure of the region enclosed by the three sides of the triangle

The area of a triangle is the measure of the region enclosed by the three sides of the triangle. To calculate the area of a triangle, you can use different formulas based on the given information.

1. If the base and height of the triangle are known:
The area (A) of a triangle can be calculated using the formula:
A = (1/2) * base * height

2. If the lengths of the three sides of the triangle are known (Heron’s formula):
Heron’s formula allows you to calculate the area of a triangle without knowing its height. Given the lengths of the three sides of the triangle, say a, b, and c, you can use the formula:
A = √(s(s-a)(s-b)(s-c))
Where s is the semiperimeter of the triangle, which can be calculated as:
s = (a + b + c)/2

3. If the coordinates of the three vertices of the triangle are known:
You can use the Shoelace formula to calculate the area of a triangle. Given the coordinates of the vertices (x1, y1), (x2, y2), and (x3, y3), the formula is as follows:
A = 0.5 * |(x1y2 + x2y3 + x3y1) – (y1x2 + y2x3 + y3x1)|

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

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