Special Right Triangles and Hypotenuse

This video tutorial covers solving problems involving 45-45-90 triangles. It explains the properties of these triangles, including congruent angles and the ratio of side lengths. The instructor demonstrates how to find missing side lengths using the Pythagorean theorem across six problems, emphasizing the congruence of legs and the calculation of hypotenuse. The video concludes with a prompt to continue learning with additional problems.

What is the focus of the video tutorial?

• Basic algebra

• Introduction to calculus

• Trigonometric identities

• Special right triangles

In a 45-45-90 triangle, what is the ratio of the sides?

• 1:1:2

• 1:√3:2

• 1:2:√3

• 1:1:√2

If one leg of a 45-45-90 triangle is 2√2, what is the hypotenuse?

• 2

• 2√3

• 4

• 3√2

In problem 2, if x = y, what is the value of x?

• √8

• 2√2

• 3

• 4

What is the hypotenuse in problem 3 if y = 3√2/2?

• 6

• 5

• 4

• 3

In problem 4, what is the length of the hypotenuse if y = 3√2?

• 7

• 4

• 5

• 6

In problem 5, if x = y, what is the value of x?

• 5

• 3√2

• 2√3

• 4

In problem 6, what is the length of each leg if x = y?

• 5

• 4

• 3√2

• 2√3