Question 469408
For the special 30-60-90 right triangle, the corresponding sides are:
a, {{{sqrt(3)}}}a, 2a
So the hypotenuse is always twice the length of the short leg, and the long leg is {{{sqrt(3)}}} times the short leg.
For this problem the short leg is x.
Therefore hypotenuse y is 2x, y = 2x
Therefore long leg is {{{sqrt(3)x}}}
{{{5sqrt(3) = sqrt(3)x}}}
Divide by {{{sqrt(3)}}} on both sides
{{{5 = x}}}
Therefore, y = 2*5 = 10