Triangle Side (Two Sides and Included Angle) Calculator

Use this Triangle Side (Two Sides and Included Angle) Calculator to quickly find third side of triangle with two sides and included angle using the law of cosines calculator.

Formula

c = √(a² + b² − 2ab·cos(C))

This formula is known as the law of cosines calculator. It allows you to find third side of triangle with two sides and included angle.

Popular Examples

a b Angle (°) c
57606.244998
34905.000000
68455.656854
1012306.164414
7912013.453624

How To Calculate Manually

To understand triangle side calculator SAS, follow these steps:

1. Square both known sides.
2. Multiply both sides and the cosine of the angle.
3. Subtract the result.
4. Take the square root.

This is the standard method to find third side of triangle with two sides and included angle.

About This Calculator

This Triangle Side (Two Sides and Included Angle) Calculator uses the law of cosines calculator to deliver accurate results instantly.

It supports quick calculations, automatic updates, and precision up to six decimal places, making it ideal for students and engineers using a triangle side calculator SAS.

Interesting Facts

• The law of cosines works for any triangle, not just right triangles.
• It generalizes the Pythagorean theorem.
• Used in navigation and engineering calculations.
• Essential in trigonometry and geometry.
• Helps solve SAS triangle problems efficiently.