The correct sentence should be - The Ganga is the sacred river. Explanation - Since The Ganga is treated as the holy river and in order to maintain the dignity of this holy river, the has been used prior to the river.
Your doubt is reasonable here as the grammar is very basic concept in English. You want to know that "The Ganga is a sacred river" is this sentence is right or not?
The above mentioned sentence is correct due to use of article i.e. "The". If you would use A in place of The, that sentence would be wrong grammatically. Because use of "The" is compulsory when we addressed any river, ocean etc.
And here in your sentence Ganga is a holy river. So use of "The" is compulsory.
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