A square television screen measures 39 inches across the diagonal. Find the dimensions of the screen. Round your answer to two decimal places.

Question

Quizplus · Accepted Answer

Let the length and width of the screen be $x$. We know that the diagonal is $39$ inches. We can create a right triangle with the length, width, and diagonal as the legs and hypotenuse. Using the Pythagorean theorem, we have:
$$x^2 + x^2 = 39^2$$
$$2x^2 = 1521$$
$$x^2 = 760.5$$
$$x = \sqrt{760.5} \approx 27.58$$
Therefore, the dimensions of the screen are approximately $27.58$ inches by $27.58$ inches, so the answer is (C).

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A Square Television Screen Measures 39 Inches Across the Diagonal $19.5 \text { inches } \times 19.5 \text { inches }$