Question

In the figure, DE || BC, AB=3cm, DB = 2 cm andAC = 3cm, Find the length of EC​

Answer 1

⚜️Given:

DE || BC

DB = 2cm

AC = 3cm

AB = 3cm

⚜️To find:

Length of EC = ?

⚜️Solution:

$\begin{gathered}\\ \sf\longmapsto \frac{AB}{DB} = \frac{AC}{EC} \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{3}{2} = \frac{3}{EC} \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 2EC=4.8cm\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto EC=2.4cm\end{gathered}$

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Answer 2

Answer:

DE || BC

DB = 2cm

AC = 3cm

AB = 3cm

Length of EC = ?

Solution:

\begin{gathered}\begin{gathered}\\ \sf\longmapsto \frac{AB}{DB} = \frac{AC}{EC} \end{gathered}\end{gathered}⟼DBAB=ECAC

\begin{gathered}\begin{gathered}\\ \sf\longmapsto \frac{3}{2} = \frac{3}{EC} \end{gathered}\end{gathered}⟼23=EC3

\begin{gathered}\begin{gathered}\\ \sf\longmapsto 2EC=4.8cm\end{gathered}\end{gathered}⟼2EC=4.8cm

\begin{gathered}\begin{gathered}\\ \sf\longmapsto EC=2.4cm\end{gathered}\end{gathered}⟼EC=2.4cm

Solved✔︎