How do we determine the relationships of a 45 45 90 triangle

The video tutorial explains the properties and relationships of 45-45-90 degree triangles, a type of isosceles right triangle. It begins by introducing the concept of right triangles and the importance of the Pythagorean theorem. The tutorial then delves into the specific properties of isosceles right triangles, including equal side lengths and angles. It demonstrates how to apply the Pythagorean theorem to calculate missing side lengths, particularly focusing on deriving the formula for the hypotenuse in 45-45-90 triangles, which is the leg length multiplied by the square root of 2.

Describe the process of using the Pythagorean theorem to find the hypotenuse of an isosceles right triangle.

What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?