Answer:
D. 22
Step-by-step explanation:
Let O be the origin, then we can use the Pythagoras Theorem to obtain:
[tex]|AB|^2=|AO|^2+|OB|^2[/tex]
This implies that;
[tex]|AB|^2=14^2+16^2[/tex]
[tex]|AB|^2=196+256[/tex]
[tex]|AB|^2=452[/tex]
Take positive square root to get:
[tex]|AB|=\sqrt{452}[/tex]
[tex]|AB|=\sqrt{113}[/tex]
[tex]|AB|=21.26029163[/tex]
We round to the nearest whole number to get
[tex]|AB|=21[/tex] units
The closes is 22
