Question

what set numbers could represent the lengths of the sides of a right triangle. (a) 9,11,14 (b) 7,24,25 (c) 15, 18,21 (d) 8,9,10

Answer 1

The answer is (B) 7, 24, and 25
This is because 7 squared (49) plus 24 squared (576) makes 625, which is 25 squared. This is Pythagoras' theorem. I hope this helps!

Answer 2

Answer:

Option (b) 7, 24, 25

Step-by-step explanation:

To check the set of numbers that could represent the lengths of the sides of a right angle triangle we will apply Pythagoras theorem to all options.

(a) 9²+11² = 81 + 121 = 202≠ 14²

(b) 7² + 24² = 49 + 576 = 625 = 25²

(c) 15² + 18² = 225 + 324 = 549 ≠ 21²

(d) 8² + 9² = 64 + 81 = 145 ≠ 10²

Looking into all options we can say option (b) is the answer.