I entered the prayer while the imam was bowing, then I said the takbir for bowing while the imam was rising from the bowing. Is my action valid?

Question:
He says: Honorable Shaykh, may Allah grant you success. If I come to the prayer and the imam is bowing, then I say the takbir of entering the prayer and the takbir for bowing, and at the same time the imam rises from the bowing, so I then bow and stand with the imam. Is my action valid?

Answer:
Your action is valid; you enter the prayer, but you did not catch the rak'ah as long as the imam raised his head before you bent down. The mere fact that you said the takbir means you did not catch the rak'ah. However, you have entered the prayer, and the first rak'ah was missed. You will perform a rak'ah after the imam's taslim. You do not catch the bowing unless your hands reach your knees. If you bent down and your hands reached your knees before the imam raised his head, then you have caught the bowing. Yes.