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Using the Pythagorean Theorem, what is the length of the diagonal of the laptop? Answer choices are rounded to the nearest inch. a.) 17 inches b.) 10 inches c.) 28 inches d.) 12 inches

Ask by Wang Pritchard. in the United States
Jan 26,2025

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Answer

Cannot determine the diagonal length without the laptop's width and height.

Solution

To find the length of the diagonal of the laptop using the Pythagorean Theorem, we need to know the lengths of the two sides of the laptop (width and height). The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the lengths of the other two sides. The formula is given by: \[ c = \sqrt{a^2 + b^2} \] where: - \(c\) is the length of the diagonal, - \(a\) is the width, - \(b\) is the height. Since the problem does not provide the dimensions of the laptop, I cannot calculate the diagonal length directly. If you provide the width and height of the laptop, I can proceed with the calculation.

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Bonus Knowledge

To find the length of the diagonal of a laptop using the Pythagorean Theorem, you would typically have the height and the width of the laptop's screen. Assuming the common dimensions of a laptop are around 15.6 inches wide by 9.9 inches tall (though this varies by model), you can use the formula \( c = \sqrt{a^2 + b^2} \), where \( a \) is the width, and \( b \) is the height. In this case, if you calculate it, \( c = \sqrt{(15.6^2) + (9.9^2)} \approx \sqrt{243.36 + 98.01} \approx \sqrt{341.37} \approx 18.5 \) inches. Hence, rounding to the nearest inch, your diagonal length would actually be around 19 inches, which might lead you to check which answer choices are close, though they may not match directly with this calculation! While you might not have all the specific dimensions, remember the importance of the dimensions in determining the actual diagonal length! Always double-check those measurements before you dive into calculating.

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