What is krishna's answer to this dilemma?

Krishna answer to this dilemma is that Arjuna should kill his kinsmen because he is not killing their souls, only their bodies. The body itself is unimportant. Arjuna was advised to fight and not sacrifice the cause of religion for material or bodily considerations. Krishna advises Arjuna to fight and kill enemies even though they are his relatives. In Bhagwad Gita Chapter 2 Verse 31, Krishna says " Considering your specific duty as a Kshatriya, you should know that there is no better engagement for you than fighting on religious principles, so there is no need for hesitation."

The Krishna's answer to Arjuna dilemma was to fight his own people, he has a duty (Arjuna) that was assigned by powers beyond his comprension and he must fulfill.

Explanation:

During a battle dated thousand of years ago in India. Arjuna is a young Pandavas prince who is looking to free his people from the ones who usurped his kingdom, the Karauvas. Krishna is his charioteer and before the battle starts, Arjuna finds out that the enemy put all his relatives, friends, teachers to aligned to battle him. This started a dilemma that Arjuna must deal and his resolution was to battle them, fulfill his destiny and find his who he really is.