Computer catalog has a computer monitor that is 19 inches. The 19 inches is the diagonal distance across the screen. If the screen is 10 inches in height, what is the width of the screen to the nearest inch?
Pythagorean Theorem
10^2 + W^2 = 19^2
100 + W^2 = 361
W^2 = 261
W = 16
To find the width of the screen, we can use the Pythagorean theorem. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (height and width).
Let's assume the width of the screen as 'w' inches. Using the given information, we have:
Height (h) = 10 inches
Diagonal (d) = 19 inches
Width (w) = ?
By rearranging the formula, we have:
d² = h² + w²
Substituting the given values:
19² = 10² + w²
361 = 100 + w²
w² = 361 - 100
w² = 261
To find the width (w), we need to take the square root of both sides of the equation. However, since we are asked to find the width to the nearest inch, we'll round the value of the width.
w = √261 (square root of 261)
Calculating the square root of 261 is approximately 16.155.
Since we need to round to the nearest inch:
Width (w) = 16 inches
Therefore, the width of the computer monitor screen is approximately 16 inches.