Question

$AB,EF$ and $CD$ are parallel lines. Given that $EG=5cm,GC=10cm,AB=15cm$ and $DC=18cm$. What is the value of $AC$?

• A. $20cm$
• B. $24cm$
• C. $25cm$
• D. $28cm$

Answer 1

Answer: (C)

$25cm$

From two similar $△sEFG$ and $CDG$
We have $\frac{DC}{EF}=\frac{CG}{EG}\Rightarrow EF=18\times \frac{5}{10}=9cm$
In two similar triangles $ABC$ and $EFC$, we have
$\frac{AC}{EC}=\frac{AB}{EF}\Rightarrow AC=\frac{15\times 15}{9}=25$.