In triangle $ABC$, $\angle B=90{}^\circ $, $AB=BC=6$ cm. $\Delta AEF$ is folded along $EF$

Question

In triangle $ABC$, $\angle B=90{}^\circ $, $AB=BC=6$ cm. $\Delta AEF$ is folded along $EF$, such that $A$ collides with $D$ and $BD:DC=1:2$. Find $EC$.

Accepted Answer

$6.57$ cm

IP1U13 SWII (Pythagoras) Q22

IP1U13 SWII (Pythagoras) Q22

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