Question

Which of the following possibilities will form a triangle?

Side = 16 cm, side = 8 cm, side = 7 cm
Side = 16 cm, side = 9 cm, side = 7 cm
Side = 17 cm, side = 12 cm, side = 7 cm
Side 17 cm, side = 11 cm, side = 5 cm

Answer 1

Side = 17 cm, side = 12 cm, side = 7 cm

Explanation:

The triangle inequality theorem states that the sum of lengths of two sides of a triangle is greater than the length of the third side.

First option is out since 8 + 7 < 16 and not > 16

Second option is out since 8 + 67 = 16 but not > 16

Third option works:
17 + 12 > 7, 17 + 7 > 12, 12 + 7 > 12

Fourth option is out since 11 + 5 < 17 and not > 17