# Triangle calculator SSA

Please enter two sides and a non-included angle

To calculate the missing information of a triangle when given the SSA theorem, you can use the known side lengths and angles to find the remaining side length and angles using trigonometry or geometry.

If you know the ratio of two sides (a/b) and the measure of the angle (C) between them, you can use the Law of Cosines to find the length of the third side (c) as:

c

^{2}= a

^{2}+ b

^{2}- 2ab * cos(C)

Once you have the length of the third side, you can use the Law of Sines to find the remaining angles (A and B) as:

a/sin(A) = b/sin(B) = c/sin(C) = 2R

Where R is the circumradius of the triangle

It's important to note that the SSA Theorem can be used only if the included angle between the two sides is obtuse, otherwise it may not provide a unique solution, and it's not always possible to determine the triangle completely.

#### Look also at our friend's collection of math problems and questions:

- triangle
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- Heron's formula
- The Law of Sines
- The Law of Cosines
- Pythagorean theorem
- triangle inequality
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