bowfishingbabe25
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  • 01-06-2017
  • Mathematics
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Fill in the blank. If the shortest leg of a 30-60-90 triangle has length 15, the length of the hypotenuse is __________.

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sharmaenderp
sharmaenderp sharmaenderp
  • 08-06-2017
The 30-60-90 triangle's sides share a ratio of 1:√3:2 where the shortest side is the one facing opposite 30°.

This means that the longest side of aa 30-60-90 triangle is twice that of the shortest side. Now, given that the shortest side has a length of 15, then its longest side would be 2(15) = 30.

Thus, the hypotenuse is 30 units.
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