Question

In $\Delta ABC,AB=BC=6cm$. If a circle is drawn with center at B and radius 2 cm which intersects AB and BC at E and D, then $\Delta ABC\sim \Delta EBD$.

• A. True
• B. False

Answer 1

The correct option is A True



In $\Delta ABCand\Delta EBD$,
$\frac{BE}{BA}=\frac{BD}{BC}=\frac{2}{6}=\frac{1}{3}and\angle DBE=\angle ABC$.
By SAS similarity,
$\Delta ABC$ and $\Delta EBD$ are similar.