Question

What is the value of a?

Answer 1

2nd option is the correct answer.

`5(1)/(3)\: units`

Explanation:

`In\:\triangle XWZ, \: \angle XWZ= 90°</p><p>\\ \: \&\: WY \perp XZ\\`

Therefore, by geometric mean postulate:

`WY^2 = XY* YZ\\</p><p>\therefore 4^2 = 3* a\\</p><p>\therefore 16 = 3a</p><p>\therefore a = (16)/(3)\\\\</p><p>\huge \red {\boxed {\therefore a = 5(1)/(3)\: units}}`