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AnilSinghBora
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In the figure, if ΔABE ≅ ΔACD, show that ΔADE ~ ΔABC. Q.6

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How i solve the problem of class 10th math of exercise 6.3 of triangles chapter, because it is very important for board exams, so please guide me the best way to solve the problem In the figure, if ΔABE ≅ ΔACD, show that ΔADE ~ ΔABC.

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  1. Given, ΔABE ≅ ΔACD.

    ∴ AB = AC [By CPCT] ……………………………….(i)

    And, AD = AE [By CPCT] ……………………………(ii)

    In ΔADE and ΔABC, dividing eq.(ii) by eq(i),

    AD/AB = AE/AC

    ∠A = ∠A [Common angle]

    ∴ ΔADE ~ ΔABC [SAS similarity criterion]

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