Openers Tanmay Agarwal (45) and Akshath Reddy (40) also chipped in with useful contributions after Hyderabad was put in to bat.
After the openers' dismissal, Vihari and Anirudh put on an unbeaten 151 runs for the third wicket to take the team to a commanding position.
At stumps, Vihari was unbeaten on 94 off 217 deliveries that included 10 fours and a six, while Anirudh was 75 not out off 127 balls, studded with eight boundaries and two sixes.
Hyderabad: 263 for two in 90 overs (Hanuma Vihari batting 94, Balchander Anirudh batting 75) vs Tripura.
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