Pythagorean Theorem

The video tutorial explains right angles and right triangles, focusing on the Pythagorean theorem. It describes the theorem's formula, A^2 + B^2 = C^2, where A and B are the legs and C is the hypotenuse. The video uses visual aids to demonstrate the theorem and provides examples with numerical values, such as a 3-4-5 triangle. It also applies the theorem to a real-world scenario, calculating the diagonal distance across a football field. The tutorial emphasizes the importance of understanding the theorem for solving problems involving right triangles.

What is the side opposite the right angle in a right triangle called?

• Altitude

• Base

• Hypotenuse

• Leg

Which equation represents the Pythagorean theorem?

• A^2 = B^2 + C^2

• A + B = C^2

• A^2 + B^2 = C

• A^2 + B^2 = C^2

In the Pythagorean theorem, what does 'C' represent?

• One of the legs

• The base

• The hypotenuse

• The height

If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

• 7

• 8

• 6

• 5

What is the result of 3^2 + 4^2?

• 30

• 25

• 16

• 12

How much longer is it to run diagonally across a football field than straight up the field?

• 40.4 feet

• 25.4 feet

• 30.4 feet

• 35.4 feet

What is the diagonal distance across a football field that is 300 feet long and 150 feet wide?

• 350 feet

• 335.4 feet

• 400 feet

• 300 feet