Identity library · 1 formulas
Triangle identities
These are the identities where the variables are not free angles: A, B, C must be the angles of one triangle and a, b, c its opposite sides. Our sampler generates valid triangles instead of six random numbers, because random numbers make these formulas fail.
Every triangle identities on this site
| Formula | Name | Used for |
|---|---|---|
| ½ a b sin C = ½ b c sin A | Triangle area in two pairings | solve, evaluate |
Triangle identities (1)
The area formula ½ab sin C and what it implies via the sine rule.
| Identity | Name | proof |
|---|---|---|
| ½ a b sin C = ½ b c sin A | Triangle area in two pairings | proof |
Doing something with them
- Which identity should I use? — describe an expression, get the rule.
- Verify — check a claim, see a counterexample if it is false.
- Printable cheat sheet — this family pre-selected.