In triangle ABD

Question

, 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

2 cm
2 cm

10 cm
10 cm

7 cm
7 cm

4 cm
4 cm

1 cm

Answer 1

2 cm
7 cm

Answer 2

nope. The 3rd side x must satisfy
5-3 < x < 5+3
2 < x < 8
so only 4 and 7 will work

Answer 3

You are correct. The possible lengths of AD are 4 cm and 7 cm.