Trevor sells TV’s and needs to mark the sizes of each TV on its tag. The TV size is determined by the length of its diagonal. One TV has a width of 24 inches and a height of 10 inches. He believes that the size of the TV is 26 inches. Is Trevor correct? If he is correct, what is one way for him to determine the length of the diagonal? If Trevor is incorrect, what is the actual size of the TV?
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| Explanation: Trevor is correct. He could have used the Pythagorean Theorem, setting up the equation as 102 + 242 = c2 and solving for c. For a quicker solution, he also could have recognized that the dimensions of the TV are simply a rescaled Pythagorean triple, namely twice the 5, 12, 13 triple. |