ON `overline (PS)` above PQ=RS. What is the length of `overline (PS)`?

In the figure above , what is the length of overline (BD) ?

In Delta ABC what is the length of overline (A) ?

In the figure above, overline(UY) and overline(WX) are parallel and overline(UX) intersects oveline(WY) at V. What is the length of overline(WY) ?

In the figure above, what is the length of RS?

The area of triangle DEF is 32sqrt(3) square units. What is the length of overline(DF) ?

In the figure, O is both the center of the circle with radius 2 and a vertex of the square OPRS What is the length of diagonal PS?

In the figure above, overline(AB)||overline(CD) , AD=30, AB=21, and CD=15. What is the length of overline(DE) ?

Linem intersects the conrner points of three adjacent squares as shown in the above figrue. If AB=5 and BC=8, what is the length of overline(CD) ?

In the figure above, if the radius length of circle O is 10. overline(OY)botoverline(AB), and Ab=16 , what is the length of segment XY?