Question

Fie A(1+3i), B(3-i). Aratati ca triunghiul OAB este dreptunghic isoscel.
URGENT VA ROG!

Answer 1

|OA|=√(1²+3²)=√10

|OB|=√(3²+(-1)²)=√10

|OA|=|OB|, ΔAOB isoscel in planul complex

as simple as that!

|AB|=|BA|=|(1-3)+(3-(-1))i|=|-2+4i|=√((-2)²+4²)=√20

|AB|²=|AO|²+|BO|²cub Rec Tep Pitagora AOB dreptunghic, AB ipotenuza