Question Detail
Question
Which of the following set of numbers does not define a right-angled triangle?
Correct Answer
Option A is the correct answer.
Detailed Explanation
For a right triangle, the sides must satisfy Pythagorean theorem: a² + b² = c² (where c is the largest). Check: A: 7²+17² = 49+289=338, 23²=529, not equal. B: 6²+8²=36+64=100, 10²=100, right triangle. C: 5²+12²=25+144=169, 13²=169, right triangle. D: 9²+12²=81+144=225, 15²=225, right triangle. So (7,17,23) does not form a right triangle.
Hint
Check if the square of the largest equals sum of squares of the other two.