Which lengths could be the sides of a triangle?

A.

17 cm, 5 cm, 13 cm

B.

5 cm, 17 cm, 12 cm

C.

20 cm, 15 cm, 4 cm

D.

15 cm, 20 cm, 3 cm

The answer is A. 17 cm, 5 cm, 13 cm

For the triangle:

a+b > c

b+c > a

a+c > b

Check all choices:

A. 17 cm, 5 cm, 13 cm

a = 17

b = 5

c = 13

17+5 = 22

22 > 13

5+13 = 18

18 > 17

17+13=30

30>5

If you check other choices, you will see they are incorrect.

The sum of the smaller sides exceeds the larger side ...

A - - > 13 + 5 = 18 - - > 18>17 - - > triângulo