Question 178194
In a right triangle, let the short leg's lenght be A and the longer leg's length be B. Find A if B is the (square root of three) times as long as A and the hypotenuse is 20.
-----------------
{{{a = b*sqrt(3)}}}
{{{a^2 + b^2 = 20^2}}}
Sub for a
{{{(b*sqrt(3))^2 + b^2 = 400}}}
{{{3b^2 + b^2 = 400}}}
{{{4b^2 = 400}}}
b = 10
a = 10*sqrt(3)