Understanding the Pythagorean Theorem

This video tutorial explains the Pythagorean Theorem, discovered by Greek philosopher Pythagoras, which states that in a right-angled triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse. The video provides two examples: one for calculating the hypotenuse given the two shorter sides, and another for finding one of the shorter sides given the hypotenuse and the other shorter side. The tutorial emphasizes labeling the sides correctly and substituting values into the theorem's formula to solve for the unknown side.

Who was Pythagoras?

• An Egyptian Pharaoh

• A Roman Emperor

• A Chinese Scholar

• A Greek Philosopher

In a right triangle, what is the side opposite the right angle called?

• Base

• Hypotenuse

• Adjacent

• Opposite

What is the formula for the Pythagorean Theorem?

• a^2 = b^2 + c^2

• a^2 + b^2 = c

• a + b = c^2

• a^2 + b^2 = c^2

If the two shorter sides of a triangle are 5 cm and 12 cm, what is the length of the hypotenuse?

• 10 cm

• 17 cm

• 13 cm

• 15 cm

What is the first step in solving for the hypotenuse using the Pythagorean Theorem?

• Multiply the sides

• Label the sides

• Divide the sides

• Subtract the squares of the sides

When given the hypotenuse and one side, how do you find the other side?

• Subtract the square of the known side from the hypotenuse squared

• Add the squares of the sides

• Multiply the sides

• Divide the hypotenuse by the known side

If the hypotenuse is 5 cm and one side is 4 cm, what is the length of the other side?

• 5 cm

• 3 cm

• 2 cm

• 4 cm

What is the square root of 9?

• 2

• 3

• 4

• 5

What should you do after finding the square of the hypotenuse?

• Multiply it by 2

• Add it to the other sides

• Subtract it from the other sides

• Take the square root

What is the key to mastering the Pythagorean Theorem?

• Reading about Pythagoras

• Using a calculator

• Practicing regularly

• Memorizing the formula