Question

Fie xOy un sistem de axe ortogonale in care sunt reprezentate punctele A(-4;0),B(3;0) si C(0;4).Aflati lungimile laturilor AB,AC si BC.

Answer 1

$AB= \sqrt{(XA-XB) ^{2}+ {(YA-YB) ^{2} } }$
$AB= \sqrt{(-4-3) ^{2}+(0-0) ^{2} } = \sqrt{49} =7$

$AC= \sqrt{(XA-XC) ^{2} +(YA-YC) ^{2} }$
$AC= \sqrt{(-4-0) ^{2}+(0-4) ^{2} } = \sqrt{16+16} = \sqrt{32} =4 \sqrt{2}$

$BC= \sqrt{(XB-XC) ^{2} +(YB-YC) ^{2} }$
$BC= \sqrt{(3-0) ^{2} +(0-4) ^{2} } = \sqrt{9+16} = \sqrt{25} =5$