Explicație pas cu pas:
A(xA;yA)
B(xB;yB)
AB= ✓(xB-xA)²+(yB-yA)²
lungimea segmentului AB
(sau distanta de la A la B)
a)[AB]=✓(3-0)²+(-4-0)²=✓9+16=✓25=5
b)[AB]=✓(-3-3)²+(4-(-4))² =✓(-6)²+0²=6
c)[AB]=✓(-2-(-3))²+(2-4)²=✓(-2+3)²+2²=
=✓1+4=✓5
d)[AB]=✓(10-(-2))²+(-3-2))²=
=✓(10+2)²+(-5)²=✓144+25=✓169=13
e)[AB]=✓(3-0)²+(0-(-4))²=✓9+16=✓25=5
f)[AB]=✓(4-7)²+(-4-5)²=✓3²+(-9)²=
=✓9+81=✓90=3✓10
