Question

Vă rog dau coroana!​

Answer 1

Răspuns:

a) AB = 12 radical 6

AC = 12 radical 6

b) AC = 18 radical 2

BC = 36 radical 2

c) AB = 12 radical 6

BC = 24 radical 6

Answer 2

Răspuns:

Explicație pas cu pas:

∡A=90°, AC=AB catete egale, iar BC ipotenuza

a) Fie AC=AB=a, T.Pitagora ⇒a²+a²=BC², ⇒2·a²=(24√6)², ⇒2·a²=24²·6 |:2 ⇒a²=24²·3, deci a=24√3=AB=AC.

b) AB=18√2, ⇒AC=18√2. Atunci BC²=AB²+AC²=(18√2)²+(18√2)²=18²·2+18²·2=18²·(2+2)=18²·4, deci BC=18·2=36

c) AC=12√6=AB. Atunci BC²=AB²+AC²=(12√6)²+(12√6)²=12²·6+12²·6=12²·(6+6)=12²·12=12²·4·3, deci BC=12·2√3=24√3.