Resposta:
[tex]x=\frac{5\sqrt{3} }{2} \\\\y=\frac{5}{2}[/tex]
Explicação passo-a-passo:
Seja m a medida do cateto no triângulo maior.
m² + 12² = 13²
m² + 144 = 169
m² = 169- 144
m² = 25
m² = 5²
m = 5
[tex]\frac{x}{m}= sen60\°\\\\\frac{x}{5}=\frac{\sqrt{3} }{2}\\\\2x=5\sqrt{3}\\\\x=\frac{5\sqrt{3} }{2}\\\\\frac{y}{m}=cos60\°\\\\\frac{y}{5}=\frac{1}{2}\\\\2y =5\\\\y=\frac{5}{2}[/tex]
