How to find the hypotenuse of a triangle using Pythagorean Theorem

The video tutorial explains the Pythagorean theorem, focusing on solving for the hypotenuse of a triangle. It begins with labeling the sides of a triangle and proceeds to calculate the hypotenuse using given side lengths. The instructor emphasizes that the hypotenuse cannot be negative, as it represents a length in a triangle. The lesson concludes with a discussion on why only positive values are considered for side lengths in this context.

What is the hypotenuse in a right triangle?

• The side adjacent to the right angle

• The longest side of the triangle

• The shortest side of the triangle

• The side opposite the right angle

In the equation a^2 + b^2 = c^2, what does 'c' represent?

• The perimeter of the triangle

• The area of the triangle

• The hypotenuse

• One of the legs

How do you calculate the square of 2√2?

• 2

• 8

• 4

• 16

Why is the hypotenuse always positive?

• Because it is always greater than the other sides

• Because it is opposite the right angle

• Because negative lengths do not make sense

• Because it is the longest side

When might the concept of direction affect the sign of a side length?

• In any geometric problem

• When measuring angles

• When calculating the area of a triangle

• In word problems where direction matters