Understanding Laptop Screen Dimensions and the Pythagorean Theorem

The video tutorial explains how to determine the width of a 15-inch laptop screen using the Pythagorean theorem. It begins by describing the problem and the properties of a right triangle. The tutorial then demonstrates how to apply the Pythagorean theorem to find the unknown side of the triangle, which represents the screen's width. Finally, it shows how to simplify the square root to obtain the exact value of the width.

What is the height of the laptop screen mentioned in the problem?

• 10 inches

• 15 inches

• 7 inches

• 12 inches

How are laptop screens typically measured?

• By their width

• By their height

• By their diagonal

• By their area

Which theorem is used to find the unknown side of the right triangle formed by the screen dimensions?

• Fermat's Last Theorem

• Euclid's theorem

• Thales' theorem

• Pythagorean theorem

What is the length of the diagonal of the laptop screen?

• 15 inches

• 7 inches

• 10 inches

• 12 inches

What is the formula for the Pythagorean theorem?

• A^2 = B^2 + C^2

• A^2 + B^2 = 2C

• A^2 - B^2 = C^2

• A^2 + B^2 = C^2

What is the approximate width of the laptop screen to two decimal places?

• 13.27 inches

• 11.45 inches

• 12.34 inches

• 14.56 inches

What is the next step after substituting the known values into the Pythagorean theorem?

• Add the values

• Multiply the values

• Subtract the values

• Isolate the unknown variable

What is the prime factorization of 176 used for?

• To find the height

• To simplify the square root

• To calculate the diagonal

• To determine the area

What is the simplified form of the square root of 176?

• 2√22

• 3√11

• 5√11

• 4√11

Why is only the positive value of the square root considered in this problem?

• Because length cannot be negative

• Because the diagonal is positive

• Because the height is positive

• Because the width is positive