Question

Which of the following lengths represent the sides of a right triangle? Select all that apply. 9 cm, 12 cm, 16 cm 8 cm, 15 cm, 17 cm 10 cm, 24 cm, 28 cm 6 cm, 8 cm, 10 cm

Answer 1

Given data:

The given sides of the right angle triangle.

9, 12 and 16 are not the pythagorean triplets, so it can never form right angle triangle.

8, 15 and 17 are the pythagorean triplets as,

(8)^2 +(15)^2 =(17)^2

64+225=289

289=289

10, 24 and 28 are also not the pythagorean triplets.

6, 8 and 10 are the pythagorean triplets as,

6^2 +8^2 =10^2

36+64=100

100=100

Thus, the second and fourth option are correct.