Question 827969
The two legs of a right triangle are the base and height, either order.

If x and y are each leg, h is hypotenuse, then {{{x^2+y^2=h^2}}}.  
Your example would become {{{8^2+y^2=16^2}}}
{{{y=sqrt(16^2-8^2)}}}
{{{y=sqrt(192)}}}


48*4=24*2*4=2*12*2*4=2*2*2*3*2*4
192=2^4**3*2^2
2^3*sqrt(3)=sqrt(192)

{{{y=8*sqrt(3)}}}


Area is {{{highlight((1/2)(8)(8*sqrt(3)))}}}