Question

Which measures would be the side lengths of a right triangle?

OA) 2 cm, 5 cm, 7 cm
OB) 9 cm, 14 cm, 17 cm
OC) 7 cm, 17 cm, 24 cm
OD) 5 cm, 12 cm, 13 cm

Answer 1

D) 5 cm, 12 cm, 13 cm

Explanation:

Use Pythagoras' Theorem for each option.

a^2 + b^2 = c^2

Option A:

4 + 25 ≠ 49

Option B:

81 + 196 ≠ 289

Option C:

49 + 289 ≠ 576

Option D:

25 + 144 = 169

Therefore Option D is the only feasible set of measurements for a right angle triangle