Question

calcule o valor de X​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm c\acute alculo~da~altura~do~\triangle ABC}\\\sf y^2+9^2=15^2\\\sf y^2+81=225\\\sf y^2=225-81\\\sf y^2=144\\\sf y=\sqrt{144}\\\sf y=12\\\sf\triangle D~\!\!EF\sim\triangle ABC\\\sf\dfrac{x}{y}=\dfrac{18}{9}\\\\\sf\dfrac{x}{12}=2\\\\\sf x=2\cdot12\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=24~cm}}}}\end{array}}$