The Battle of Marathon. However Pheidippides was already dead at the time. He had been sent to Sparta to summon them to Marathon, a round trip of 120 miles. He died as a result of that run, and so was not available to go to Athens after the battle.
After the battle, the Athenians realised there was an attack by sea on the city, and their army of 9,000 all ran back the 26 miles, getting there just in time to save the city.
Sorry, no Pheidippides, but a whole army did the run which formed the basis of today's marathon run.
450 BCE Cyprus.
There were several - the most notable were Salamis (in the Saronic Gulf between the island of Salamis and Athens in 480; Mykale in Asia Minor 479 BCE and Eurymedon in Asia Minor 466 BCE.
The invading Persians at the battles of Plataea and Mycale.
He attempted to give a neutral account of both sides, delivering his work as a series of paid lectures in Athens after the Greeks and Persians had agreed to peace.
The Athenians and their Platian allies defeated the Persians punitive expedition sent against them in a land battle on the Plain of Marathon.
It was not the Greeks but the Greek city-state of Eretria.The Persians then switched to Athens which defeated them at Marathon.
Which battle.
Not the Greeks, but the Greek city-states of Athens and Plataea, The battle in 490 BCE was on the plain of Marathon (not a city) 26 miles north of Athens.
Plataea.
He established an empire out of the Delian League formed to fight the Persians, and Athens lived high on the hog from the proceeds. He also brought in a radical democracy where the citizens made political decisions.
Salamis.
After the Greeks led by the Spartans defeated the Persian army at the battle of Plateau, the Greeks made an oath to rebuild all the temples destroyed by the Persians. Much of this money went into the Parthenon at Athens.
According to legend a Greek messenger named Philippides or Pheidippides (there are also other options) ran from Marathon to Athens, without stopping to rest, to announce that the Persians had been defeated and that the Greeks had won. After which he collapsed and died. The run was celebrated by being incorporated into the Olympics and, more recently, into many city runs. The distance from Marathon to Athens was supposedly 26.2 miles.
A punitive expedition he sent to Eretria and Athens was defeated by Athens at Marathon 490 BCE.
the Aegean sea
Which battle - there were many, but the Greeks won by superior strategies and tactics.
Salamis, Plataia, Mykale, Eurymedon, Cyprus.