Since the North and the East directions are perpendicular
Then we will have a right triangle has two legs, North and east
Its hypotenuse is the straight distance between the 2 houses
By using the Pythagoras Theorem
[tex]\text{leg}1^2+leg2^2=hypotenuse^2[/tex]Since leg1 = 12 km
Since leg2 = 16 km
Substitute them in the rule above
[tex]\begin{gathered} 12^2+16^2=hyp.^2 \\ 144+256=hyp.^2 \\ 400=hyp.^2 \end{gathered}[/tex]Take square root for both sides
[tex]20=\text{hypo.}[/tex]The distance between the parents' and grandparents" houses is 20 KM