Which of the following sets of 3 numbers could be the side lengths, in meters, of a 30°–60°–90° triangle?Responses1, 1, 11, 1, 11, 1, 11, 1, 11, 1, 2√1, 1, 21, 1, 2√1, 1, 21, 2√, 2√1, 2, 21, 2√, 2√1, 2, 21, 2√, 3√1, 2, 3 , 1, 2√, 3√1, 2, 31, 3√, 2
Question
Which of the following sets of 3 numbers could be the side lengths, in meters, of a 30°–60°–90° triangle?Responses1, 1, 11, 1, 11, 1, 11, 1, 11, 1, 2√1, 1, 21, 1, 2√1, 1, 21, 2√, 2√1, 2, 21, 2√, 2√1, 2, 21, 2√, 3√1, 2, 3 , 1, 2√, 3√1, 2, 31, 3√, 2
Solution
The question seems to be formatted incorrectly, making it difficult to understand. However, in a 30°–60°–90° triangle, the sides follow a specific ratio. The side opposite the 30° angle is the shortest, the side opposite the 60° angle is √3 times the shortest side, and the side opposite the 90° angle (the hypotenuse) is twice the shortest side.
So, the correct set of numbers should follow this ratio. Unfortunately, due to the formatting of the question, it's hard to identify which set of numbers that would be. Please provide a correctly formatted question.
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