The hypotenuse of a right triangle has one end at the origin and one end on the curve
y =4th root of (x)

Question

The hypotenuse of a right triangle has one end at the origin and one end on the curve 
y =4th root of (x)

anonymous · Answer

You could get lots of answer since the orientation of the legs isn't specified.  (You can always draw that segment; and put a 45-45-90 right triangle on it, for example.)  If one leg is on the +x axis, though, you can get an answer.

The area of a right triangle is half the product of the legs.  Pick a point (x,y) on the curve, and the legs are x and y, making A = xy/2.  Since y = x^(1/4), you can substitute to get:

A = (1/2) x^(5/4)

anonymous · Answer

Here is a picture of the graph. Sorry!!

anonymous · Answer

Thanks! That helped a lot! I actually understand this problem now lol!!

anonymous · Answer

No problem(: