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On the box of a new computer monitor, it states that the diagonal distance across the screen is 19 inches. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest tenth of an inch? 14. 8 inches 17.6 inches 16.1 inches 12.3 inches

Respuesta :

Answer:

16.1 inches

Step-by-step explanation:

If a rectangle is cut by a diagonal, it becomes a right angled triangle. Given the length of the diagonal and that of a side, the width can be determined using Pythagoras theorem :√ (a² + b²) = c

10² + w² = 19²

w^2 = 361 - 100

w^2 = 261

w = √261

w = 16.1 inches

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