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Verdich [7]
3 years ago
8

The shorter leg of a 30°-60°-90° triangle measures 3 inches. What is the length of the longer leg?

Geography
1 answer:
salantis [7]3 years ago
6 0
For a 30°-60°-90° triangle, the sides will have a ratio of 1:sqrt(3):2. Therefore if the shortest side (across the 30<span>° angle) has a length ratio of 1, then the longer leg has a length ratio of sqrt(3). Therefore we have the proportion:
3 inches/1 = x/sqrt(3)
x = 3sqrt(3) inches

Note that the side of length ratio 2 is the hypotenuse, not the longer leg.
</span>
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