The longer leg of a 30 6090 triangle is 16 square root three. how long is the shorter leg?

Think of the standard 30-60-90 triangle: the shortest side is 1, the other side is sqrt(3) and the hypotenuse is 2.

We can write and solve an equation of proportions to find the length of the shorter leg of the given 30-60-90 triangle:

longer leg shorter leg

sqrt(3) 1

=

16 sqrt(3) x

Then sqrt(3)*x = 16 sqrt(3), or x = 16 (answer)

1/800 is the right answer

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