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प्रश्न
In ΔABC, D is the mid-point of BC, AD is equal to AC. AC is produced to E, such that CE = AC. Prove that:
AB = CE
बेरीज
उत्तर
In ΔABD and ΔDCE
BD = CD ...(D is mid-point of BC)
∠ADB = ∠DCE ...(proved)
AD = CE ...(since AD = AC and AC = CE)
Therefore, ΔABD ≅ ΔDCE
Hence, AB = CE.
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