Triangle calculator AAS

To calculate the missing information of a triangle when given the AAS theorem, you can use the known angles and side lengths to find the remaining side lengths and angles.

If you know the measures of two angles (A and B) and the length of the side (c) between them, you can use the Law of Sines to find the length of the remaining sides (a and b) as:

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

Where R is the circumradius of the triangle

Once you have the length of the two remaining sides, you can use the Law of Cosines to find the measure of the angle (C) that is not given as:
c² = a² + b² - 2ab * cos(C)

You can also use the given angles and side length 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 angles and a side to use this theorem. If you have only one angle and one side, it would not be possible to determine the triangle completely.

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

• triangle
• right triangle
• Heron's formula
• The Law of Sines
• The Law of Cosines
• Pythagorean theorem
• triangle inequality
• similarity of triangles
• The right triangle altitude theorem

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