Question

14.In triunghiul dreptunghic ABC,m(∡A)=90°,se stie ca BC=3√13 cm si $\frac{AB}{AC}$ =0,(6).
a)Determinati AB si AC.
b)Calculati aria triunghiului ABC.

Answer 1

AB/AC=0.(6)=6/9=2/3, AB=2AC/3
a t lui Pitagora in ABC
BC²=AB²+AC²
117=4AC²/9+AC²
117=13AC²/9, AC²=117x9/13=81, AC=9, AB=6
b. A=ACxAB/2=9x6/2=27 cm²