Question

Can someone help me find the valu of X &Y?

Answer 1

Given that the triangle ABC and DEF are similar, therefore its corresponding sides must be proportional,

`\begin{gathered} (AB)/(DE)=(BC)/(EF)=(AC)/(DF) \\ (4)/(6)=(10)/(y)=(x)/(12) \end{gathered}`

Comparing the first and third terms,

`\begin{gathered} (4)/(6)=(x)/(12) \\ x=(4)/(6)*12 \\ x=4*2 \\ x=8 \end{gathered}`

Comparing the first and second terms,

`\begin{gathered} (4)/(6)=(10)/(y) \\ y=(6)/(4)*10 \\ y=3*5 \\ y=15 \end{gathered}`

Thus, the values of 'x' and 'y' are 8 and 15, respectively.