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Pythagorean Theorem

 

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?

 

Scroll down or click here for the answer!

classwithelements

Students need practice to ensure that they know how to decode Aspire™ questions and avoid becoming intimidated by the test. Unless students are practicing with items that perfectly emulate the Aspire™ rigor and approach, their time will be wasted. MasteryPrep has taken an enormous amount of care to ensure that every item that appears in the Aspire™ Elements Program meets our highest-quality standards.

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.

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