Pythagorean Theorem Concepts

This video tutorial explains the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It covers common Pythagorean ratios, such as 3-4-5 and 5-12-13, and provides examples of solving for the hypotenuse and a leg of a triangle. The video also includes a real-world application involving a ramp, demonstrating how to apply the theorem in practical scenarios.

What is the basic formula of the Pythagorean Theorem?

• a + b = c

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b = c^2

In a right triangle, which side is the hypotenuse?

• The shortest side

• The side opposite the right angle

• Any side can be the hypotenuse

• The side adjacent to the right angle

Which side of a right triangle is always the longest?

• The height

• The hypotenuse

• The base

• Any side can be the longest

Which of the following is a common Pythagorean triple?

• 5, 6, 7

• 3, 4, 5

• 7, 8, 9

• 2, 3, 4

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

• 5

• 6

• 7

• 8

Which of the following is NOT a Pythagorean triple?

• 7, 24, 25

• 8, 15, 17

• 6, 8, 10

• 5, 12, 13

If a triangle has sides 6 and 8, what is the hypotenuse?

• 12

• 9

• 10

• 11

If a triangle has a hypotenuse of 13 and one leg of 5, what is the other leg?

• 10

• 11

• 12

• 13

What is the square of 5?

• 35

• 25

• 20

• 30

What is the square of 17?

• 309

• 299

• 289

• 279