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From coordinates, Karan gets sides 5, 12 and 13 for a triangle and says it is obtuse because 13 is much longer. Which is correct?

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates
  • ANot a triangle at all
  • BAcute, since all sides differ
  • CRight-angled, since
  • DObtuse, since 13 is the longest side

Step-by-Step Solution

, so by the converse of Pythagoras the angle opposite 13 is exactly 90°. Being the longest side alone says nothing about the angle type.
Answer: C) Right-angled, since

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