Explanation:

The Penner (also known as Pennar, Penna, Penneru and uttara pinakini is a river of southern India. The Penna get rises in the Nandi Hills in the Chikballapur District of the Karnataka state, and runs north and east along the states of the Karnataka and Andhra Pradesh to empty into the Bay of Bengal. It is almost 597 kilometres (371 mi) long, with a drainage basin covering about 55,213 km2. 6,937 km2 area in Karnataka and 48,276 km2 area in Andhra Pradesh.

The Vaigai is the river in the Tamil Nadu state of the southern India; it get passes through the towns of Theni, Andipatti & Madurai. It get originates in the Varusanadu Hills, the Periyar Plateau of the Western Ghats range, and flows northeast along the Kambam Valley, which lies linking the Palni Hills to the north and the Varushanad Hills to the south. The Vattaparai Falls are situated on this river. As it orbits the eastern corner of the Varushanad Hills, the river turns towards southeast, running along the region of Pandya Nadu. Madurai, the largest among all cities in the Pandya Nadu portion and its ancient capital, which lies on the Vaigai.

The Cauvery (also called as Kaveri, the anglicized name), is an Indian river which is flowing through the states of Karnataka and of Tamil Nadu. The Kaveri river arises at Talakaveri on the Brahmagiri range in the parts of the Western Ghats, Kodagu district of the state of the Karnataka, at an elevation of 1341meter above mean sea level and flows for about 800 kilometers before it gets outfall into the Bay of Bengal. It is the 3rd largest river – after the Godavari and Krishna – in the South India and the largest in state of Tamil Nadu which, on its route, divides the state into North and South.

The Krishna River is the fourth biggest river in terms of the water inflows and of the river basin area in India, after the Ganga, Godavari and Brahmaputra. The river is approx. 1,400 kilometres (870 mi) long. The river is also known as Krishnaveni. It is one of the major sources of irrigation for the states of Maharashtra, Karnataka, Telangana and Andhra Pradesh.