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.