Math Playground
Geometry

Scalene triangle

All sides different — no symmetry.

All three sides different lengths — so all three angles are different too. No equal pairs, no symmetry. The 'ordinary' triangle.

Drag the corners
16151662°55°63°
isosceles · acute
angles sum ≈ 180°

Spotting a scalene triangle

  • No two sides equal ⇒ no two angles equal.
  • No lines of symmetry and no rotational symmetry — it can't map onto itself.
  • It can still be right-angled, acute, or obtuse — 'scalene' only talks about side lengths, not angles.
  • The biggest angle is always opposite the longest side; the smallest angle opposite the shortest side.
Your turn

A triangle has angles 50°, 60°, 70°. Is it scalene?

Most triangles you'd draw at random are scalene — equilateral and isosceles are the special, 'lucky' cases. Drag the corners above and try to *avoid* making any two sides equal.

Recap
  • Scalene = all sides different ⇒ all angles different.
  • No symmetry of any kind.
  • Largest angle faces the longest side.