What is the value of q?
0 45
02/14
O 2015
0 645

Triangles QST and RST are similar. Therefore, the following is true:

q s
--- = This results in 10q=rs.
r 10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: = which leads to s^2 = 40
s 10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

It is B