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Calculate the sum of the squares of the two shorter sides. If this is less than the square of the remaining, third, side then the triangle is obtuse.

There are three possibilities - let the three sides of the triangle be A, B and C with C the longest side (that is C ≥ A and C ≥ B). Then, if:

  1. A2 + B2 > C2 the triangle is acute
  2. A2 + B2 = C2 the triangle is right angled
  3. A2 + B2 < C2 the triangle is obtuse
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14y ago

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