SHOW TABLE STATUS WHERE Name = 'xxx'
This will give you (among other things) an Engine column, which is what you want.
Engine
To show a list of all the tables in a database and their engines, use this SQL query:
SELECT TABLE_NAME, ENGINEFROM information_schema.TABLESWHERE TABLE_SCHEMA = 'dbname';
Replace dbname with your database name.
dbname
SHOW CREATE TABLE <tablename>;
Less parseable but more readable than SHOW TABLE STATUS.
SHOW TABLE STATUS