Eis a point on side AC of AABC with AB = AC. Show that CE<BE.
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Answer:
Given - AB = AC
To prove -- BD > CD
Proof -- Since AB = AC
∠ABC = ∠ACB (By Isosceles Triangle property) ----(i)
Here clearly,
∠ABC > ∠CBD
∠ACB > ∠CBD ---from (i)
∠DCB > ∠CBD
BD > CD (Angle opposite to greater side is greater in a triangle)
Hence Proved!
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