int triggerInput = 12; 
int relayOutput = 8;

unsigned long timerCount = 0;


void setup()
{
  pinMode (triggerInput, INPUT_PULLUP);
  pinMode(relayOutput, OUTPUT);
  digitalWrite(relayOutput, LOW);
}

void loop()
{
  if (digitalRead (triggerInput) == LOW)
  {
    timerCount = 1 * 60 * 10; //~ 1 min
    //(X mins * XX sec * XX * 1 deciseconds)
  }
  if (timerCount != 0)
{
  digitalWrite(relayOutput, HIGH);

    timerCount = timerCount - 1;

    delay(100);
  }
  else {
    digitalWrite(relayOutput, LOW);

  }
}