Use this when you know two sides, a and b, and the included angle, C. Then the area is the square root of the product of s, s − a, s − b, and s − c. Let s be half their sum, called the semiperimeter. This is useful when you know the three sides a, b, and c of the triangle, and all you want to know is the area. ![]() Then if h is the distance from the opposite vertex to b, then the area is half of bh. This is the usual one to use since it’s simplest and you usually have that information. There are three different useful formulas for the area of a triangle, and which one you use depends on what information you have. If you know two sides and the angle opposite one of them, there are two possibilities for the the angle opposite the other (one acute and one obtuse), and for both possibilities you can determine the remaining angle and the remaining side. ![]()
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