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The Prophet (ﷺ) went out to offer the Istisqa' prayer and turned (and put on) his cloak inside out.

The Prophet (ﷺ) turned his cloak inside out on Istisqa.

from his uncle who said, "The Prophet (ﷺ) went out to invoke Allah for rain. He faced the Qibla invoking Allah. He turned over his cloak (inside out) and then offered two rak`at and recited the Qur'an aloud in them."

"The Prophet (ﷺ) invoked Allah for rain and offered a two rak`at prayer and he put his cloak inside out."

"The Prophet (ﷺ) went out to the Musalla to offer the Istisqa' prayer, faced the Qibla and offered a two rak`at prayer and turned his cloak inside out." Narrated Abu Bakr, "The Prophet (ﷺ) put the right side of his cloak on his left side."

The Prophet (ﷺ) went out towards the Musalla in order to offer the Istisqa' prayer and when he intended to invoke (Allah) or started invoking, he faced the Qibla and turned his cloak inside out.

Ibn Tamim narrated on the authority of his uncle ('Abdullah b. Zaid) that the Messenger of Allah (ﷺ) went out to the place of prayer and prayed for rain and faced towards Qibla, and turned round his mantle and prayed two rak'ahs.