Question

Distanta dintre punctele A(3;0) si B(1;
$2 \sqrt{3} )$
exprimata in cm este:
A.
$\sqrt{2}$
B. 6
C. 4
D.
$\sqrt{3}$
P.S. Vreau pas cu pas rezolvarea

Answer 1

$A(3,0)$

$B(1,2\sqrt{3})$

$x_{A} = 3$

$y_{A} = 0$

$x_{B} = 1$

$y_{B} = 2 \sqrt{3}$

$AB=\sqrt{{(x_{B}-x_{A})}^{2}+{(y_{B}-y_{A})}^{2}}$

$AB = \sqrt{ {(1 - 3)}^{2} + {(2 \sqrt{3} - 0) }^{2} }$

$AB = \sqrt{ {( - 2)}^{2} + {(2 \sqrt{3} )}^{2} }$

$AB = \sqrt{4 + 12}$

$AB = \sqrt{16}$

$AB = 4 \: cm$

$= > C. \: 4$