For a 25 inch television screen, the length of the screen's diagonal is 25 inches. If the screen's height is 15 inches, what is the width?

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T6ieBe3yRoyckath T6ieBe3yRoyckath

21-06-2016
Mathematics

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For a 25 inch television screen, the length of the screen's diagonal is 25 inches. If the screen's height is 15 inches, what is the width?

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Аноним Аноним · Answer 1 · 2016-06-28T11:55:53+02:00

The length (L), width (W), and the diagonal (D) of the television screen make a right triangle with the legs L and W and hypotenuse D. Thus, their measurements are related through Pythagorean Theorem.

L² + W² = D²

Substituting the known values from the given,

(15 in)² + W² = (25 in)²

Solving for W in the equation gives, W = 20 in and W = -20. The second value is an extraneous root. Thus, the width of the television screen is 20 inches.