What is the value of b?

b = 10

Step-by-step explanation:

We know

x^2 / (24^2)  -    y^2/ ( b^2) = 1

equation:  directrix   x  =  a^2 / c  = 576/26

a = 24

24^2/ c =  576/26

c = 26

so     a^2 + b^2 = c^2

so   24^2  + b^2 =  26^2

b^2 =  26^2 - 24^2 =  100

b = 10

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.