Question
In the figure, if $\triangle$ABE $\cong$ $\triangle$ACD. Show that $\triangle$ADE ~ $\triangle$ABC
✓
Answer
Given: In the figure, $\triangle ABE \cong \triangle ACD$
To prove: $\triangle ADE \sim \triangle ABC$
Proof:
$\because \triangle ABE \cong \triangle ACD$........[Given]
$\therefore $ AB = AC........[CPCT
AE = AD ........(1)
Also, $\angle$ DAE= $\angle$ BAC.......[Common $\angle$ ].......(2)
In view of (1) and [SAS similarity criterion]
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