Pythagorean Theorem Concepts and Applications

The video tutorial covers the application of the Pythagorean theorem to solve problems involving right triangles. It begins with a practical example of determining how far up a wall a ladder reaches. The tutorial then explains how to identify right triangles by comparing the squares of their sides. Finally, it demonstrates calculating the size of a television screen using its diagonal, reinforcing the concept that the diagonal is the hypotenuse in a rectangle.

What formula is used to find the height a ladder reaches up a wall?

• Height = Hypotenuse - Leg

• Height = Square root of (Hypotenuse squared - Leg squared)

• Height = Hypotenuse squared + Leg squared

• Height = Hypotenuse + Leg

How can you verify if a triangle is a right triangle using side lengths?

• A squared + B squared = C squared

• A squared + B squared > C squared

• A squared + B squared < C squared

• A + B = C

Which set of sides does NOT form a right triangle?

• 8, 6, 10

• 5, 12, 13

• 12, 10, 15

• 7, 24, 25

What is the size of a TV screen if its width is 21 inches and height is 28 inches?

• 49 inches

• 42 inches

• 50 inches

• 35 inches

What does the diagonal of a rectangle represent in the context of a TV screen?

• Hypotenuse

• Depth

• Height

• Width