consider-a-right-triangle-with-vertices-at-00-00-0c-0c-and-d0-d0-where-c-and-gt0

Question

Consider a right triangle with vertices at (0,0) (0,0) , (0,c) (0,c) , and (d,0) (d,0) , where c\u003e0 c\gt{0}  and d\u003e0 d\gt{0} . What is the average vertical distance from points on the xx-axis between x=0 x = 0  and x=d x = d  to the hypotenuse?

Accepted Answer

c2\frac{c}{2}

Answer

d2\frac{d}{2}

Answer

c2c\sqrt2

Answer

d2d\sqrt2

Consider a right triangle with vertices at (0,0) (0,0) , (0,c) (0,c) , and (d,0) (d,0) , where c>0 c\(\gt{0}\) and d>0 d\(\gt{0}\) . What is the average vertical distance from points on the xx-axis between x=0 x = 0 and x=d x = d to the hypotenuse?