We are thankful to be welcome on these lands in friendship. The lands we are situated on are covered by the Williams Treaties and are the traditional territory of the Mississaugas, a branch of the greater Anishinaabeg Nation, including Algonquin, Ojibway, Odawa and Pottawatomi. These lands remain home to many Indigenous nations and peoples.

We acknowledge this land out of respect for the Indigenous nations who have cared for Turtle Island, also called North America, from before the arrival of settler peoples until this day. Most importantly, we acknowledge that the history of these lands has been tainted by poor treatment and a lack of friendship with the First Nations who call them home.

This history is something we are all affected by because we are all treaty people in Canada. We all have a shared history to reflect on, and each of us is affected by this history in different ways. Our past defines our present, but if we move forward as friends and allies, then it does not have to define our future.

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Pythagorean Theorem

Introduction

Suppose that we have a right-angled triangle (a triangle that contains a 90^o angle) as shown below, where c is the side opposite the right angle (this side c is called the “hypotenuse”)

$Pythagorean Theorem example$

The Pythagorean Theorem tells us that the lengths of the sides are related by the following formula: a² + b² = c²

Example:

If a right-angled triangle has one side of length 3 and one side of length 4, find the length of the hypotenuse.

Solution:

$ \displaylines{a^2+b^2=c^2 \\ 3^2+4^2=c^2 \\ 9+16=c^2 \\ c^2=25 \\ c=5} $

Therefore, the hypotenuse has a length of 5.

Example: