In triangle ABD , AB is 3 cm long and BD is 5 cm long. According to the Triangle Inequality Theorem, which two lengths are possible lengths of AD ? (1 point) Responses 1 cm 1 cm 10 cm 10 cm 4 cm 4 cm 2 cm 2 cm 7 cm 7 cm

Answer 1

According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, AB (3 cm) + BD (5 cm) = 8 cm

So, for AD, the possible lengths could be:

1. 1 cm (3 cm + 5 cm > 1 cm)
2. 7 cm (3 cm + 5 cm > 7 cm)

Answer 2

1 cm 1 cm 10 cm 10 cm 4 cm 4 cm 2 cm 2 cm 7 cm 7 cm are the answers

Answer 3

Thank you for your response. Upon reconsideration, the correct possible lengths of AD according to the Triangle Inequality Theorem are:

1 cm (3 cm + 5 cm > 1 cm)
7 cm (3 cm + 5 cm > 7 cm)