Question

question 10bcpss_course3_unit6televisions are sized based on the diagonal length of the rectangular screen. what is the approximate size of a television with dimensions 14.2 by 18.2 inches? choose the correct answer.12-inch16-inch23-inch25-inch

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 14.2\), \(b = 18.2\), diagonal \(d = \sqrt{a^2 + b^2}\)

Step2: Calculate squared side lengths

\(14.2^2 = 201.64\), \(18.2^2 = 331.24\)

Step3: Sum squared lengths

\(201.64 + 331.24 = 532.88\)

Step4: Compute square root

\(d = \sqrt{532.88} \approx 23.08\)

Step5: Approximate to nearest size

\(23.08\) inches ≈ 23-inch

Answer:

23-inch