Question

Sa se afle valorile lui AB si AC in triunghiul dreptunghic ABC in care ipotenuza BC = 10 si sin(B) = 4 supra 5

Answer 1

   
[tex]\displaystyle\\ \sin(B) = \frac{AC}{BC}= \frac{4}{5} \\\\ \frac{AC}{10}= \frac{4}{5} \\\\ AC = \frac{10\times 4}{5} = 2\times 4 = \boxed{\bf8~cm}\\\\ AB = \sqrt{BC^2 - AC^2}= \sqrt{10^2 - 8^2}=\sqrt{100 - 64}=\sqrt{36}=\boxed{\bf6~cm}[/tex]