Question

Express the area of a 30 60 90 triangle as a function of the length h of the hypotenuse

Answer 1

In a 30-60-90 degree triangle, the ratio of the side lengths is 1:√3:2
if the hypotenuse is h, the legs are h/2 and h/√3 respectively
the area is (1/2)(h/2)(√3h/2)=√3h²/8