Question

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

Answer 1

Answer:

D. 22

Step-by-step 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:

$|AB|=\sqrt{452}$

$|AB|=\sqrt{113}$

$|AB|=21.26029163$

We round to the nearest whole number to get

$|AB|=21$ units

The closes is 22