coolant leak from the back side of engine

There are two hoses. One goes in and supplies hot coolant to the heater box and the other comes out of the heater box and goes back to the engine block. Same type hose and it might be a good idea to replace both if the one has begun leaking.

i just had a door replaced at a auto wreckers 1 hour later coolant started drizzling off my firewall onto engine i only see 1 hose but next to it looks like a valve thats where the drizzle is coming from , im guessing theres now a hose missing thats supposed to connect to that valve but unsure