Right Triangle Concepts and Pythagorean Theorem

The video tutorial explains the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). The tutorial demonstrates how to identify the sides of a right triangle and solve for unknown sides using the theorem. It includes practical examples and shows how to use a calculator for these calculations. The video emphasizes that this theorem only applies to right triangles and provides a step-by-step guide to solving for the hypotenuse and other sides.

What is the Pythagorean Theorem formula?

• a + b = c^2

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

In a right triangle, which side is always the longest?

• Any side

• Side c

• Side b

• Side a

If a right triangle has sides of 39 and 80, what is the length of the hypotenuse?

• 100

• 89

• 81

• 90

Why do we ignore the negative solution when solving for side lengths in a right triangle?

• It makes the calculation easier

• Negative solutions are always incorrect

• Negative numbers are not real

• Negative side lengths are not possible

Given a right triangle with sides 11 and 60, what is the length of the hypotenuse?

• 61

• 59

• 60

• 62

What is the first step in solving for a side length using the Pythagorean Theorem?

• Square both sides

• Square root both sides

• Subtract the squares of the two sides

• Add the squares of the two sides

If the hypotenuse of a right triangle is 85 and one side is 84, what is the length of the other side?

• 12

• 13

• 14

• 15

What is the result of 84 squared?

• 7059

• 7058

• 7057

• 7056

What is the length of the side opposite the right angle in a triangle with sides 24 and 74?

• 72

• 73

• 71

• 70

What is the square root of 4900?

• 70

• 65

• 75

• 60