Question

Which of the following are possible

side lengths for a triangle?
A. 4, 9,4
B. 3, 8, 12
C. 8,8,9

Answer 1

As we know,

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

A. 4, 9, 4

`4 + 9 > 4`

`9 + 4 > 4`

`4 + 4 < 9`

B. 3, 8, 12

`3 + 8 < 12`

`8 + 12 > 3`

`12 + 3 > 8`

C. 8, 8, 9

`8 + 8 > 9`

`8 + 9 > 8`

`9 + 8 > 8`

By observing the above,

the possible side lengths of a triangle are C. 8, 8, 9.