א֣וֹ בְאֵיבָ֞ה הִכָּ֤הוּ בְיָדוֹ֙ וַיָּמֹ֔ת מֽוֹת־יוּמַ֥ת הַמַּכֶּ֖ה רֹצֵ֣חַֽ ה֑וּא גֹּאֵ֣ל הַדָּ֗ם יָמִ֛ית אֶת־הָרֹצֵ֖חַ בְּפִגְעוֹ־בֽוֹ׃
或者出於敵意用手打他，以致那人死了，那打人的必須被處死，他就是殺人者；報血仇的人遇見殺人者的時候，就要把他處死。
Yalkut Shimoni
Or if he struck him with enmity, why is it stated "by his hand"? Because it states "or if he struck him with an iron tool" etc., "or with a stone" etc., "or with a wooden tool" etc. I only know that if he killed him with those, he is liable. How do I know that if he choked him, strangled him, or kicked him, he is also liable? It is stated "by his hand" from any manner of killing.