A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle E in terms of h? Choose one.
A) h/ √2
B) h/2
C) h/4
D) (h)^2
E) (h)^2/4
IF...each of the two shorter sides = 3, then the hypotenuse = H = 3(root2).   The AREA E= (1/2)(Base)(Height) = (1/2)(3)(3) = 9/2.   So we're looking for an answer that = 9/2 when H = 3(root2). There's only one answer that matches...   (h)^2/4
<result>E</result>
A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle E in terms of h?