Question

In Δ isoscel ABC se stie ca AB=AC=2O cm ,iar BC= 32cm .Daca AD⊥BC,D ∈(BC) si BE ⊥AC , E ∈ ( AC), calculati AD si BE

Answer 1

deoarece tr ABC este isoscel=> AD este si inaltime si mediana=> BD=DC=16. in tr dreptunghic ADC aplicam th pitagora⇒ AD²=AC²-CD²=400-256=144=> AD=12. Aria tr ABC=b*h/2=AD*BC/2=12*32/2=192. dar aria poate fi calculat folosind alta inaltilme , respectivBE.=> A=BE*AC/2=BE*20/2=> 192=BE*20/2=> BE=192*2/20=19,2