Question

Sabendo que AE é uma bissetriz , determine o valor de x

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Teorema\,da\,bissetriz\,interna}\\\sf\dfrac{\overline{\sf AB}}{\overline{\sf AC}}=\dfrac{\overline{\sf BE}}{\overline{\sf EC}}\\\\\sf\dfrac{10}{14}=\dfrac{12-x}{x}\\\\\sf 10x=168-14x\\\sf 10x+14x=168\\\sf 24x=168\\\sf x=\dfrac{168}{14}\\\\\sf x=12\end{array}}$