Final answer:
The three Indigenous Peoples recognized in Canada's Constitution are First Nations, Métis, and Inuit, each with their own distinct cultures and languages.
Step-by-step explanation:
The three distinct Indigenous Peoples recognized under Canada's Constitution are: First Nations, Métis, and Inuit. These groups together represent the diverse Indigenous population of Canada, with their own unique histories, languages, cultural practices, and spiritual beliefs. The First Nations comprise over 630 groups representing 50 Nations and languages, with over 1.5 million people identifying as members. The Inuit population is about 65,000, living in 53 communities across the northern regions of Canada and speaking Inuktut. Lastly, the Métis people number over 587,000 and are distributed throughout the country, representing a fusion of Indigenous and European heritage.