Triangle calculator SAS

Please enter two sides of the triangle and the included angle

To calculate the missing information of a triangle when given the SAS 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 lengths of two sides (a and b) and the angle (C) between them, you can use the Law of Cosines to find the length of the third side (c) as:

c2 = a2 + b2 - 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

You can also use the given side lengths and angles to find the area of the triangle using Heron's formula or using trigonometric functions like Sin or Cos.

It's important to note that you need to have the measures of two sides and the angle between them to use this theorem. If you have only two sides or one side and one angle, it would not be possible to determine the triangle completely.

If you know two sides and one adjacent angle, use the SSA calculator.

Triangle SAS theorem math problems:

more triangle problems »

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

See triangle basics on Wikipedia or more details on solving triangles.