Question

Consideram punctele A (3,2), B (5,4), C (0,-2) si D(-2,0).Demonstrati ca AB=CD

Answer 1

Calculam lumgimile laturilor ca sa vedem daca sunt egale.
AB=√(xB-xA)² + (yB-yA)² = √(5-3)² + (4-2)² = √(4+4) = √8 = 2√2
CD = √(xD-xC)² + (yD-yC)² = √(-2-0)² + (0+2)² = √(4+4) = √8 = 2√2
=> AB = CD = 2√2