Understanding the Pythagorean Theorem

This video tutorial covers the Pythagorean Theorem, explaining its use in solving for missing sides of right triangles. It includes examples of solving triangles, simplifying radicals, and understanding Pythagorean triples. The video also demonstrates how to determine if given lengths form a right triangle and applies the theorem to real-world problems, such as measuring a TV's dimensions.

What is the longest side of a right triangle called?

• Hypotenuse

• Leg

• Altitude

• Base

In the Pythagorean Theorem, what does 'c' represent?

• The perimeter

• The area

• The hypotenuse

• One of the legs

If a right triangle has legs of 3 and 6, what is the length of the hypotenuse?

• √45

• 3√5

• 9

• 6

What is the simplified form of √18?

• 3√2

• 2√3

• √6

• √9

Which of the following is a Pythagorean triple?

• 2, 3, 4

• 5, 6, 7

• 3, 4, 5

• 8, 10, 12

If you multiply a Pythagorean triple by 2, what do you get?

• A rectangle

• A non-triple

• A new triple

• A square

Do the lengths 4, 7, and 11 form a right triangle?

• Only if 4 is the hypotenuse

• Only if 11 is the hypotenuse

• No

• Yes

Which set of lengths can form a right triangle?

• 7, 8, 9

• 4, 5, 6

• 3, 10, 24

• 21, 72, 75

How is the size of a TV typically measured?

• By its width

• By its area

• By its diagonal

• By its height

If a TV has a diagonal of 52 inches and a width of 40 inches, what is its height?

• 52 inches

• 33.2 inches

• 40 inches

• 30 inches