Solve for the missing side length using the Pythagorean theorem ex 2

The video tutorial explains how to use the Pythagorean theorem to find a missing side length in a right triangle. It begins with an introduction to the theorem, followed by identifying the hypotenuse. The tutorial then demonstrates solving for the missing length using the equation a^2 + b^2 = c^2. Finally, it covers simplifying the square root to find the exact value of the missing side.

What is the Pythagorean theorem commonly expressed as?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = 2c

• a^2 = b^2 + c^2

In a right triangle, which side is identified as the hypotenuse?

• The side opposite the right angle

• The shortest side

• The longest side

• The side adjacent to the right angle

What is the equation set up to find the missing length in the given problem?

• x^2 = 12^2 - 8^2

• x^2 = 8^2 + 12^2

• 8^2 - x^2 = 12^2

• 8^2 + x^2 = 12^2

After simplifying the equation, what is the value of x^2?

• 80

• 64

• 100

• 144

What is the simplified form of sqrt(80)?

• 4 * sqrt(5)

• 8 * sqrt(2)

• 5 * sqrt(4)

• 2 * sqrt(20)