Question

A. 30
B. 6
C.32
D.22

Answer 1

D. 22

Explanation:

Let O be the origin, then we can use the Pythagoras Theorem to obtain:

`|AB|^2=|AO|^2+|OB|^2`

This implies that;

`|AB|^2=14^2+16^2`

`|AB|^2=196+256`

`|AB|^2=452`

Take positive square root to get:

`|AB|=√(452)`

`|AB|=√(113)`

`|AB|=21.26029163`

We round to the nearest whole number to get

`|AB|=21` units

The closes is 22