Question

In rreperul cartezian xoy se considra punctele A(1, 4) B(5, 4) C(5, 8).
Aratati ca AB = BC

Answer 1

Se foloseste formula pentru a determina lungimea segmentelor AB si BC si se verifica egalitatea.


Formula: $AB=BC=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$


Si o sa dea AB=BC=4 c.c.t.d.

Answer 2

A(1.4),B(5.4),C(5.8)
AB=√(XB-XA)²+(YB-YA)²⇒AB=√(5-1)²+(4-4)²⇒AB=√(4)²+0²⇒AB=√16+0⇒AB=√16⇒AB=4
BC=√(XC-XB)²+(YC-YB)²⇒BC=√(5+5)²+(8-4)²⇒BC=√(0)²+(4)²⇒BC=√0+16⇒BC=√16⇒BC=4
AB=4
BC=4⇒AB=AC (A)
SUCEES