Question 1009450
There is a relationship between the hypotenuse and side of this triangle through the Pythagorean theorem.
{{{S^2+S^2=H^2}}}
{{{H^2=2S^2}}}
So then the area of this triangle is,
{{{A=(1/2)(S)(S)}}}
{{{A=(1/2)S^2}}}
Substituting,
{{{A=(1/2)(H^2/2)}}}
{{{A=H^2/4}}}