The extensor muscle that branches to form four tendons on the back of the hand is the select to launch animation the extensor muscle that branches to form four tendons on the back of the hand is the extensor ulnaris extensor digitorum extensor carpi radialis brevis extensor carpi radialis longus

1) Extensor digitorum.

Explanation:

The extensor digitorum is a muscle present in the posterior forearm of humans and many animals.  It tends to separate the fingers while it extends them.

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