![]() ![]() Example 2įind the length of side b in a right triangle where a = 4, c = 5. Therefore, the length of side c is 5 units. We can use the Law of Cosines to solve for c: Example 1įind the length of side c in a triangle where a = 3, b = 4, and angle α = 90°. Here are some examples of how to use the formulas to find the length of a side of a triangle. Where a is the length of the sides of the triangle, and h is the height. In an equilateral triangle, as well as in the isosceles, the side can be found through height. For example, to solve for side c, the formula becomes:Ĭ = \sqrt Equilateral triangle side, through height You can rearrange the formula to solve for any of the sides. Where a, b, and c are the lengths of the sides of the triangle, and α is the angle between sides a and c. In order to calculate the third side of the triangle, you need to extract the square root of the difference from the squares of the known sides of their double product by the cosine of the angle between them. The cosine theorem in an arbitrary triangle states that one can find a side in a triangle, knowing the other two sides and the angle between them. There are several formulas that you can use to calculate the length of a side of a triangle. ![]() Simply select the type and method that suits to your triangle, input the required values, and our calculator will automatically find the length of the unknown side. If you need to find the length of one of the sides of a triangle, our free online triangle side calculator can help. ![]()
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