Question

Geometria, me respondam rápido por favor.

Answer 1

Teorema da bissetriz interna :

$\displaystyle \frac{\text{AB}}{\text{BD}}=\frac{\text{AC}}{\text{CD}}$

substituindo os respectivos valores :

$\displaystyle \frac{18}{11-\text x}=\frac{15}{\text x}$

$\displaystyle \frac{6}{11-\text x}=\frac{5}{\text x}$

$6\text x = 5(11-\text x)$

$6\text x = 55 - 5\text x$

$11\text x = 55$

$\huge\boxed{\text x = 5}\checkmark$