In triangle ABC , 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 7 cm 7 cm 10 cm 10 cm 2 cm 2 cm 1 cm 1 cm 4 cm
The Triangle Inequality Theorem states that 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, we have AB = 3 cm and BD = 5 cm.
So, for AD to be a valid length in the triangle, we need:
AB + BD > AD
3 + 5 > AD
8 > AD
Therefore, the possible lengths for AD are 1 cm, 2 cm, or 7 cm.