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The shorter leg is 1/2 of the hypotenuse, while the longer leg is (sin60°) times the hypotenuse or about 0.866 times as long. (7.8/0.866) gives the hypotenuse as 9.0 and 9.0/2 = about 4.5 units

or use the tangent ratio:
7.8/tan 60° = 4.5033321 or about 4.5 in length

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Q: A 30-60-90 triangle has its longer leg of length 7.8 what is the length of the shorter of the two legs?
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