How did Judas die, by hanging or falling down?

How did Judas die, by hanging or falling down?
Matthew 27:3-8 and Acts 1:16-19
    

1. By hanging (Matthew 27:3-8) - "Then when Judas, who had betrayed Him, saw that He had been condemned, he felt remorse and returned the thirty pieces of silver to the chief priests and elders, ⁴saying, "I have sinned by betraying innocent blood." But they said, "What is that to us? See to that yourself!" ⁵And he threw the pieces of silver into the sanctuary and departed; and he went away and hanged himself. ⁶And the chief priests took the pieces of silver and said, "It is not lawful to put them into the temple treasury, since it is the price of blood." ⁷And they counseled together and with the money bought the Potter’s Field as a burial place for strangers. ⁸For this reason that field has been called the Field of Blood to this day."
2. By falling (Acts 1:16-19) - "Brethren, the Scripture had to be fulfilled, which the Holy Spirit foretold by the mouth of David concerning Judas, who became a guide to those who arrested Jesus. ¹⁷"For he was counted among us, and received his portion in this ministry." ¹⁸(Now this man acquired a field with the price of his wickedness; and falling headlong, he burst open in the middle and all his bowels gushed out. ¹⁹And it became known to all who were living in Jerusalem; so that in their own language that field was called Hakeldama, that is, Field of Blood.)"

     There is no contradiction here at all because both are true.  A contradiction occurs when one statement excludes the possibility of another.  In fact, what happened here is that Judas went and hung himself and then his body later fell down and split open.  In other words, the rope or branch of the tree probably broke due to the weight and his body fell down and his bowels spilled out.
     Also, notice that Matt. 27:3-8 tells us specifically how Judas died, by hanging.  Acts 1:16-19 merely tells us that he fell headlong and his bowels gushed out.  Acts does not tell us that this is the means of his death where Matthew does.