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CTET PAPER II 2021 · PYQ · Pythagorean Theorem · medium

Which of the following can be the sides of a right angled triangle?

  1. A.20 cm, 21 cm and 31 cm
  2. B.35 cm, 77 cm and 88 cm
  3. C.15 cm, 32 cm and 57 cm
  4. D.65 cm, 72 cm and 97 cm✓ Correct

Explanation

For a right-angled triangle, the square of the largest side must equal the sum of squares of the other two (Pythagoras). Check option (4): 65² + 72² = 4225 + 5184 = 9409, and 97² = 9409. ✓ Hence 65, 72, 97 forms a right triangle. Other options: (1) 400 + 441 = 841 ≠ 961. (2) 1225 + 5929 = 7154 ≠ 7744. (3) 225 + 1024 = 1249 ≠ 3249. Only option (4) satisfies.
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