CTET PAPER II 2021 · PYQ · Pythagorean Theorem · medium
Which of the following can be the sides of a right angled triangle?
Answer
The correct answer is D: 65 cm, 72 cm and 97 cm. 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.
A.20 cm, 21 cm and 31 cm
B.35 cm, 77 cm and 88 cm
C.15 cm, 32 cm and 57 cm
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.
💡 Practice unlimited CTET PAPER II PYQs + AI-tracked progress on each topic. Sign up free →
Want more CTET PAPER II practice?
Free daily 10-Q quiz · adaptive mocks · 49,000+ practice questions (19,000+ verified PYQs) · AI doubt solver in Hindi + English