Question

A plumber is connecting pipes in the shape of a triangle. Which of the following pipe lengths could form a triangle?

15,6,5


13,12,5


40,20,10


19,16,2

Answer 1

Answer: 13,12,5

Step-by-step explanation:

According to the triangles inequality : The sum of any two sides of a triangle must be greater than the third.

since $6+5 =11 \ngtr 15$

$20+10=30\ngtr40\\\\ 16+2=18\ngtr19$

Only pipe lengths with measure 13,12,5 can form triangle as

13+12 >5

12+5>13

13+5>12

Hence, the correct option is 13,12,5.