Calculate Triangle Area Using Base, Height, And Side Lengths: Methods And Formula Explained

Area of a Triangle

A = (1/2)(b)(h)

The area of a triangle is the measure of the surface enclosed within its three sides. It is calculated by multiplying the base of the triangle by its height and dividing the result by two (A = 1/2 x base x height). The base of the triangle can be any one of its sides, and the height is the perpendicular distance between the base and the opposite vertex.

In order to find the base and height of the triangle, you can use different methods, depending on the given information. For example:

– If the base and height are given, you can simply substitute the values into the formula and calculate the area.

– If the lengths of two sides and the angle between them are known, you can use the formula A = 1/2 a b sin C, where a and b are the lengths of the known sides, and C is the angle between them.

– If only the lengths of the three sides are given, you can use Heron’s formula, which is A = sqrt(s(s-a)(s-b)(s-c)), where a, b, and c are the lengths of the sides, and s is half the perimeter of the triangle (s = 1/2 (a+b+c)).

It’s important to remember to use consistent units of measurement when calculating the area of a triangle, and always round the final answer to an appropriate number of significant digits.

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