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Why is SSA (two sides and a non-included angle) not a congruence rule?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • AThe same data can fit two different triangles
  • BThe angle must always be 90°
  • CIt needs four measurements
  • DIt works only for equilateral triangles

Step-by-Step Solution

When the given angle is not between the sides, the third side can swing to two positions, giving two non-congruent triangles (the 'ambiguous case').
Answer: A) The same data can fit two different triangles

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