Question

Fie triunghiul ABC avand aria egala cu 24. Calculati imaginea laturii AB stiind ca AC=8 si unghiul A=30 ​

Answer 1

Fie triunghiul ABC avand aria egala cu 24.

aria=AC×h/2==>24=8×h/2=>

h=24×2:8=6cm

Calculati lungimea laturii AB stiind ca AC=8 si unghiul A=30

AB=12cm

Answer 2

$\it \mathcal{A}=\dfrac{AB\cdot AC \cdot sinA}{2} \Rightarrow24=\dfrac{AB\cdot8\cdot sin30^o}{2} \Rightarrow 24=AB\cdot4\cdot\dfrac{1}{2} \Rightarrow \\ \\ \\ \Rightarrow 24=AB\cdot2\Big|_{:2} \Rightarrow AB=12\ cm$