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In figure E is a point on side CB produ...

In `figure E` is a point on side `CB` produced of an isosceles `triangle ABC` with `AB = AC`. If `A D_|_B C`and`E F_|_A C`, prove that`DeltaA B D ~DeltaE C F`.

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If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
This is referred to as AA similarity criterion for two triangles.
In `ΔABD` and `ΔECF`
`∠ADB = ∠EFC = 90º` [`∵ AD ⊥ BC` and `EF ⊥ AC`] ...
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