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How do you find the length of the short leg on a 30°-60°-90° triangle when all you have is the long leg?

User Aalbahem
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1 Answer

7 votes
the ratios of the sides
hypotnuse=2x
x=short leg (oposite 30)
x√3=long leg (oposite 60)

long leg=x√3
to find x, divide by √3
longleg/√3=short leg=x
rationalize denomenator, times √3/√3
(longleg√3)/3=short leg

the legnth of the short leg is
(longleg√3)/3

User Mekajiki
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