Mathematics
In the adjoining figure, D and E are points on the side BC of △ABC such that BD = EC and AD = AE. Show that △ABD ≅ △ACE.
Triangles
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Answer
Given, AD = AE.
∴ ∠ADE = ∠AED (As angles opposite to equal sides are equal.)
⇒ 180 - ∠ADE = 180 - ∠AED
⇒ ∠ADB = ∠AEC.
BD = EC (Given)
∴ △ABD ≅ △ACE by SAS axiom.
Hence, proved that △ABD ≅ △ACE.
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