Question

Determine X e Y nos pares de triângulos semelhantes.

Answer 1

c)

$\mathtt{\dfrac{8}{x}=\dfrac{4}{2}}\\\mathtt{4x=16}\\\mathtt{x=\dfrac{16}{4}}\\\mathtt{x=4}$

$\mathtt{\dfrac{4}{2}=\dfrac{y}{5}}\\\mathtt{2y=20}\\\mathtt{y=\dfrac{20}{2}=10}$

d)

$\mathtt{\dfrac{12}{6}=\dfrac{y+12}{12}}\\\mathtt{2=\dfrac{y+12}{12}}\\\mathtt{y+12=24}$

$\mathtt{y=24-12=12}$

$\mathtt{\dfrac{x+5}{x}=\dfrac{12}{6}}\\\mathtt{\dfrac{x+5}{x}=2}\\\mathtt{2x=x+5}\\\mathtt{2x-x=5}\\\mathtt{x=5}$