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The three sides of a triangle measure 11 cm, 60 cm and 61 cm.
Without drawing, decide whether the triangle is right-angled, and if so name the side opposite the right angle.

Class 10Pythagoras TheoremGeometry — Similarity
  • AYes, right-angled; 61 cm is the hypotenuse
  • BNo, it is acute-angled
  • CNo, it is obtuse-angled
  • DYes, right-angled; 60 cm is the hypotenuse

Step-by-Step Solution

. By the converse of Pythagoras it is right-angled, with the longest side 61 cm as hypotenuse.
Answer: A) Yes, right-angled; 61 cm is the hypotenuse

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