In figure BD = AB and BD² = BEX BC. Prove that AD bisects CAE.
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n ΔABC
AD is the bisector of ∠BAC
∠1=∠2 …(i)
Also in ΔADC
∠3=∠2+∠C (ext. angle is equal to sum of opposite interior angles)
∠3>∠2 (ext. angle is greater than one of the interior angles)
But ∠1=∠2
∠3>∠1
AB>BD
Hence proved
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