Model not using transparency from PNG texture

Bare with me, has i only have 3 hours playing with Unity 3D, after reading trough some articles, i downloaded a 3D Model of a Palm, and when i put it on my terrain, the palms does not seem to have full transparent ends on the leafs, its like crystallized border, like if the texture does not apply fully to the model, and the model reads the complete border.
as you can see in the picture, im doing this to learn, and im wondering how can i solve this issue here:

You material needs to support transparency, and have the correct settings. If you’re using the standard shader, information about how to control transparency is here.