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Answer :
Final answer:
Using the Pythagorean theorem, the other dimension of the 25-inch screen is found to be 20 inches when the length of one side is given as 15 inches.
Explanation:
To find the other dimension of a 25-inch laptop screen when one dimension is 15 inches, we assume the screen has a rectangular shape and utilize the Pythagorean theorem, which states in a right-angled triangle, the square of the length of the hypotenuse (longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the screen size of 25 inches represents the diagonal, or the hypotenuse of the triangle, while the known dimension of 15 inches is one of the other two sides. If we let 'x' be the length of the unknown side, then according to the Pythagorean theorem we have: 15^2 + x^2 = 25^2, 225 + x^2 = 625 x^2 = 625 - 225 x^2 = 400 x = 20 (since x is a length, it must be positive). Therefore, the other dimension of the screen is 20 inches.
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