sounds like you have a blown head gasket
heater core leaking
There is a heater hose that goes to the left rear top side of the intake manifold and that fitting leaks engine coolant sometimes and it will run down the back of the intake around the distributor. If that fitting is not leaking then the intake manifold gasket is leaking coolant in the corners of it. REplace the intake gasket. That's all that can leak coolant on that year engine. If coolant is leaking out between the transmission and engine block then you have a freeze plug leaking in the back of the engine, between the transmission and block. Must remove the transmission and flywheel to fix it.
On a 2001 Isuzu Rodeo, freeze plugs, also known as core plugs, are typically located on the engine block. You can find them on the sides and rear of the engine block, where they help prevent coolant from leaking. They are often circular metal plugs that can be accessed by removing any necessary components for better visibility. If you're looking to inspect or replace them, ensure the engine is cool and the coolant system is drained.
If coolant is leaking from the back of the engine it is most likely that the intake gaskets need replacement or a possible heater hose connection depending on the year.
The rear cabin heater uses coolant lines that run to a heat exchanger in the rear.
You can tell your rear engine is leaking by looking under your rear engine and see if there's drops hitting the ground.
You need to climb up and lean over the engine and run your fingers around the back 2 corners of the intake manifold and see if you get antifreeze on them. They are none for the intake gaskets to leak engine coolant. It is a common problem with the vortec engines. There are also 2 freeze plugs in the back of the engine where the fly-wheel is bolted to the engine that could be leaking engine coolant. There is also a heater core hose that goes into the rear left corner of the intake that could be leaking. The hose fits into a quick disconnect fitting that screews into the intake. It is common for the fitting to leak too,
your head might be going out
My 97 Tahoe was leaking coolant and I couldn't find anything on the driveway or anywhere else. I took it to my mechanic and it was a rear manifold gasket leak, cost me about 500 dollars.
if it has rear heat--it has hoses and a heater core for the rear heating system--could be any of this
That is because it is hot ( over heating ). You need to check all 4 corners of the intake manifold with your fingers to see if it is leaking antifreeze. Chevy had a problem with the intakes leaking engine coolant. There is a heater hose fitting screewed into the left rear corner of the intake and thay are none for leaking engine coolant too. You should check the water pump for leaks too.
your main oil seal on the rear of engine is leaking or the timing cover seal is leaking,