Labs / Mathematics
Triangle Solver
Grab corners A, B, and C and reshape the triangle any way you like — every side length, interior angle, and the area update as you move. Switch to SSS, SAS, or ASA to build a triangle from just a few given parts, and see which law — Sines or Cosines — unlocks the rest.
a —b —c —A —B —C —area —solves —
What to try
- Do the three angles always add up to the same total, no matter how you drag the corners?
- Lock ∠C to 90° and drag a corner — how do a, b, and c relate now? Does a² + b² look familiar?
- In SAS, widen the given angle A while keeping the two sides fixed. Which way does the opposite side a grow, and how fast?
- In SSS, why do some slider combinations refuse to make a triangle at all?
- Turn on the circumcircle: as you reshape the triangle, is each side's length divided by the sine of its opposite angle really the same value?