Triangle Side Calculator Step by Step

Find the missing side of any triangle instantly. Step-by-step solutions for right and oblique triangles.

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Known Sides

Known Angles (Degrees)

Why Use Our Side Calculator?

Instant Solution

Just enter what you know, and we'll find the missing side length immediately.

Step-by-Step

See the formulas used (Law of Sines/Cosines) so you can learn how to do it yourself.

Accurate

Precise calculations for homework, construction, or design projects.

How to Calculate a Missing Triangle Side

The method to find a missing side depends on what information you already have:

1. Right Triangles

If one angle is 90°, use the Pythagorean Theorem: $a^2 + b^2 = c^2$.

2. Oblique Triangles (No 90° angle)

  • SAS (Side-Angle-Side): Use Law of Cosines.
  • AAS or ASA (Angle-Angle-Side): Use Law of Sines.

Frequently Asked Questions

How do I find the third side of a triangle?

If you know two sides and the included angle, use the Law of Cosines (c² = a² + b² - 2ab*cos(C)). If it is a right triangle, use the Pythagorean theorem (a² + b² = c²).

Can I find a side knowing only angles?

No. Knowing only angles tells you the shape (similarity) but not the size. You need at least one side length to calculate the others.

What if I have two angles and a side?

First find the third angle (angles sum to 180°). Then use the Law of Sines (a/sin(A) = b/sin(B)) to find the other sides.