Explain the terms Sharia and Halacha.

Sharia is the law that Muslims follow and that is based on the Koran and on the Hadith, which are the traditions of the Prophet. These are writings supposedly handed down from Mohammed to the people who spoke with him, so these writings encapsulate his ideas about religious law. The Sharia, while stipulating religious law, governs both religious and secular parts of life. There are different schools of Sharia, and it has also evolved over time and is practiced differently in different parts of the world.
Halacha is the religious Jewish law that comes from the Torah, or the first five books in the Bible. The word literally means "to go," as it describes the way in which Jews must go through the world and the laws they must follow. Halacha also comes from what is called the "oral Torah," or the traditions passed down through the ages and interpreted by rabbis. Some of these laws are in the Talmud, which was compiled over the centuries and is an interpretation of the Halacha by different religious authorities. Like Sharia, Halacha is interpreted differently by different communities and by different branches of Judaism. Also like Sharia, Halacha governs both secular and religious matters.
https://www.myjewishlearning.com/article/halakhah-the-laws-of-jewish-life/