Narrated 'Abi b. Hatim: I asked the Prophet (ﷺ) ,and said: I set off my trained dogs, and they catch (something) for me: may I eat (it)? He said: When you set off trained dogs and mention Allah's name, eat what they catch for you. I said: Even if they killed (the game)? He said: Even if they killed (the game) as long as another dog does not join it. I said: I shoot with a featherless arrow, and it strikes the target, may I eat (it) ? He said: If you shoot with a featherless arrow and mention Allah's name, and it strikes the aim, and pierce it, eat it ; and if it strikes with its middle, do not eat (it).
Source: sunnah.com
Other translations
Arabic
حَدَّثَنَا مُحَمَّدُ بْنُ عِيسَى، حَدَّثَنَا جَرِيرٌ، عَنْ مَنْصُورٍ، عَنْ إِبْرَاهِيمَ، عَنْ هَمَّامٍ، عَنْ عَدِيِّ بْنِ حَاتِمٍ، قَالَ سَأَلْتُ النَّبِيَّ صلى الله عليه وسلم قُلْتُ إِنِّي أُرْسِلُ الْكِلاَبَ الْمُعَلَّمَةَ فَتُمْسِكُ عَلَىَّ أَفَآكُلُ قَالَ " إِذَا أَرْسَلْتَ الْكِلاَبَ الْمُعَلَّمَةَ وَذَكَرْتَ اسْمَ اللَّهِ فَكُلْ مِمَّا أَمْسَكْنَ عَلَيْكَ " . قُلْتُ وَإِنْ قَتَلْنَ قَالَ " وَإِنْ قَتَلْنَ مَا لَمْ يَشْرَكْهَا كَلْبٌ لَيْسَ مِنْهَا " . قُلْتُ أَرْمِي بِالْمِعْرَاضِ فَأُصِيبُ أَفَآكُلُ قَالَ " إِذَا رَمَيْتَ بِالْمِعْرَاضِ وَذَكَرْتَ اسْمَ اللَّهِ فَأَصَابَ فَخَزَقَ فَكُلْ وَإِنْ أَصَابَ بِعَرْضِهِ فَلاَ تَأْكُلْ " .
sunnah.com