If you really want to call C++ code from Java, read up on the Java Native Interface (JNI) coding conventions.
But generally, unless you have an extremely good reason to cross languages, it's more trouble than it's worth. How complicated is the triangulation code? If it's less than a few hundred lines, I'd suggest reimplementing; if it's more than a few thousand, using a library may be justified but you should probably check whether there's a Java library available or if someone has already written the appropriate JNI glue code.