Question

calculati aria triunghiului abc daca ac = 12√6 , ab=bc , m(<B)=90 de grade

Answer 1

m(B)=90 grade => triunghi dreptunghic => teorema lui Pitagora : AC²=AB²+BC² dar AB=BC => AC²=2 AB² => (12√6)²= 2 AB² => 864= 2 AB² => AB² = 432

Aria = (cateta*cateta)/2 = (AB*BC)/2 dar AB=BC => Aria = AB²/2 = 432/2= 216