Question

What is the value of a?

Answer 1

Answer:

2nd option is the correct answer.

$5\frac{1}{3}\: units$

Step-by-step explanation:

$In\:\triangle XWZ, \: \angle XWZ= 90°\\ \: \&\: WY \perp XZ$

Therefore, by geometric mean postulate:

$WY^2 = XY\times YZ\\\therefore 4^2 = 3\times a\\\therefore 16 = 3a\therefore a = \frac{16}{3}\\\\\huge \red {\boxed {\therefore a = 5\frac{1}{3}\: units}}$