![]() ![]() Given a = 9, b = 7, and C = 30°:Īnother method for calculating the area of a triangle uses Heron's formula. Note that the variables used are in reference to the triangle shown in the calculator above. Given the length of two sides and the angle between them, the following formula can be used to determine the area of the triangle. The "base" refers to any side of the triangle where the height is represented by the length of the line segment drawn from the vertex opposite the base, to a point on the base that forms a perpendicular. Likely the most commonly known equation for calculating the area of a triangle involves its base, b, and height, h. There are multiple different equations for calculating the area of a triangle, dependent on what information is known. Refer to the triangle above, assuming that a, b, and c are known values. Given the lengths of all three sides of any triangle, each angle can be calculated using the following equation.Note that there exist cases when a triangle meets certain conditions, where two different triangle configurations are possible given the same set of data. ![]() Thus, if b, B and C are known, it is possible to find c by relating b/sin(B) and c/sin(C). Where sides a, b, c, and angles A, B, C are as depicted in the above calculator, the law of sines can be written as shown below. Using the law of sines makes it possible to find unknown angles and sides of a triangle given enough information.
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