A menedékházban megpihenünk.

A is the definite article, meaning the.

Hungarian has two forms of the definite article:

• a before consonant sounds
• az before vowel sounds

Because menedékházban begins with m, Hungarian uses a.

Also, unlike in some languages, the article itself does not take the case ending. The noun does: a menedékházban.

It has three parts:

• menedék = refuge, shelter
• ház = house
• -ban = in

So menedékház is a compound noun, literally something like refuge-house, and menedékházban means in the refuge hut / mountain hut / shelter.

Hungarian makes a lot of compounds like this, and they are usually written as one word.

-ban is a case ending meaning in.

So:

• menedékház = refuge hut / mountain hut
• menedékházban = in the refuge hut / mountain hut

This is called the inessive case.

Hungarian often uses case endings where English uses prepositions. So instead of a separate word like in, Hungarian frequently adds a suffix to the noun.

Because of vowel harmony.

Hungarian suffixes often come in two versions:

• back-vowel version: -ban
• front-vowel version: -ben

Since menedékház contains the back vowel á, it takes the back-vowel form -ban.

A very rough rule is:

• back vowels (a, á, o, ó, u, ú) usually take back-vowel suffixes
• front vowels (e, é, i, í, ö, ő, ü, ű) usually take front-vowel suffixes

It can be divided like this:

• meg- = verbal prefix
• pihen = rest
• -ünk = we in the present tense

So the verb form means we rest / we will rest / we have a rest, depending on context.

The ending -ünk shows the subject is we, so Hungarian does not need a separate pronoun here.

Meg- is a very common verbal prefix in Hungarian. In many verbs, it adds a sense of the action being completed, achieved, or viewed as a whole.

So:

• pihenünk = we rest / we are resting
• megpihenünk = we stop to rest / we have a rest / we rest up

In English, this difference is often not translated with one single word. The prefix gives the verb a more bounded or complete-event feeling.

Formally, it is present tense.

However, Hungarian very often uses the present tense to talk about the future when the context makes that clear. With a verb like megpihenünk, this is especially common, because it often refers to a single completed action.

So depending on context, it could be understood as something like:

• we rest
• we are going to rest
• we will stop and rest

Hungarian does have ways to express the future, but the plain present is extremely common for planned or expected future actions.

Because Hungarian verb endings already show the subject.

The ending -ünk tells you the subject is we, so mi is usually unnecessary.

That means:

• megpihenünk = we rest / will rest

You can add mi if you want emphasis or contrast, for example:

• Mi megpihenünk. = We will rest.
  (maybe contrasting with someone else)

But in an ordinary sentence, leaving the pronoun out is completely normal.

Hungarian word order is not as fixed as English word order. It often reflects topic, emphasis, and information structure rather than just grammar.

In A menedékházban megpihenünk, the phrase A menedékházban sets the scene or topic: in the mountain hut / as for the mountain hut. Then megpihenünk gives the action.

A different order is also possible:

• Megpihenünk a menedékházban.

That can sound a bit more neutral in some contexts.

A useful thing to notice: in your sentence, the prefix meg- stays attached to the verb. That usually means there is no strong focus immediately before the verb. If something were strongly focused, the prefix would often move away from the verb.

A rough guide:

• A → short aw/o-like sound
• menedékházban → MEH-neh-dayk-haaz-bawn (rough approximation)
• megpihenünk → MEG-pi-he-nünk

A few important pronunciation points:

• Stress in Hungarian normally falls on the first syllable of each word.
• é is a long vowel, somewhat like ay in say, but purer.
• á is a long a sound, somewhat like a in father.
• ü has no exact English equivalent; it is like German ü or French u.
• Hungarian spelling is quite regular, so once you know the sounds, pronunciation becomes much easier than in English.