Which of the following possibilities will form a triangle?

Question

A. Side = 15 cm, side = 7 cm, side = 7 cm

B. Side = 15 cm, side = 7 cm, side = 9 cm

C. Side = 14 cm, side = 6 cm, side = 7 cm

D. Side = 14 cm, side = 6 cm, side = 8 cm

Answer 1

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

A. 15 + 7 = 22 > 7. This forms a triangle.
B. 15 + 7 = 22 > 9. This forms a triangle.
C. 14 + 6 = 20 < 7. This does not form a triangle.
D. 14 + 6 = 20 > 8. This forms a triangle.

Therefore, the possibilities that will form a triangle are A, B, and D.

Answer 2

A -- not a triangle, since 15 > 7+7
C not a triangle, since 14 > 6+7
D not a triangle, since 14 = 6+8

Answer 3

Apologies for the confusion. You are correct.

The correct option that will form a triangle is B. Side = 15 cm, side = 7 cm, side = 9 cm.