Question

Aflati perimetrul triunghiului cu virfurile in punctele:A(3;4),B(-2;4),C(2,2)
Va rooog ajutati-ma!!

Answer 1

A(3;4)
B(-2;4)
C(2,2)

Pentru a afla perimetrul trebuie sa aflam mai intai laturile AB, AC si BC.
[tex] AB= \sqrt{( x_{B}- x_{A})^{2} + (y_{B}- y_{A} )^2 } [/tex]
$AB= \sqrt{(-2-3)^2+(4-4)^2}$
$AB= \sqrt{(-5)^2+0^2}$
$AB= \sqrt{25}$
AB=5

$AC= \sqrt{( x_{C}- x_{A})^{2} + (y_{C}- y_{A} )^2 }$
$AC= \sqrt{(2-3)^2+(2-4)^2}$
$AC= \sqrt{(-1)^2+(-2)^2}$
$AC= \sqrt{5}$

$BC= \sqrt{( x_{C}- x_{B})^{2} + (y_{C}- y_{B} )^2 }$
$BC= \sqrt{(2+2)^2+(2-4)^2}$
$BC= \sqrt{(4)^2+(-2)^2}$
$BC= \sqrt{20}$
$BC=2 \sqrt{5}$

P=AB+AC+BC
$P=5+ \sqrt{5} +2 \sqrt{5}$$P=5+3 \sqrt{5}$