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B «रत... ४2खाइईति 7.21 भा 20 8, 28 न 0 खने £ BAD = L EACol A 5रो, डे, 80 न छाए,4 यो & 341८ 9 खने ए तेन भध्यणि६ ४ जने शेथी ८ 8.5 |
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Answer» Solution: First show that ΔABC ≅ ΔADE by using SAS ruleand then use CPCT to show given result. Given, AC = AE, AB = AD and ∠BAD = ∠EAC To prove:BC = DEProof: We have ∠BAD =∠EAC (Adding ∠DAC to both sides)∠BAD+∠DAC =∠EAC+∠DAC⇒ ∠BAC = ∠EADIn ΔABC and ΔADE,AC = AE (Given)∠BAC =∠EAD (proved above)AB = AD (Given)Hence, ΔABC ≅ ΔADE (by SAS congruence rule)Then,BC = DE ( by CPCT.) |
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