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Two students each construct a triangle from the same data: base 6 cm, included angle 50°, and one adjacent side 4 cm (SAS).
How do their finished triangles compare?

Class 9Constructions of TrianglesGeometry
  • AThey are congruent (identical)
  • BThey differ in size
  • CThey differ in shape
  • DOnly one is a valid triangle

Step-by-Step Solution

By the SAS condition, two sides and the included angle fix a triangle uniquely. Both students must obtain congruent triangles.
Answer: A) They are congruent (identical)

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