Question

if triangle ABE is congruent to triangle ACD show that triangle ADE similar to triangle ABC...

class 10​

Answer 1

Since, ΔABE ≅ ΔACD

⇒AB=AC

⇒BE =CD

⇒AE=AD

reason :- by CPCT

Now,

AB/AC = 1 ________________(1)

BE/CD =1 _________________(2)

AE/AD = 1 _________________(3)

From eq 1,2and 3

AB/AC=BE/CD=AE/AD

Now,

ΔADE and ΔABC

AB/AC=BE/CD=AE/AD (from above)

√A=√A (common)

ΔADE ~ ΔABC (by SAS similarity criteria)

______________________________♦️ ♦️ ♦️ ♦️

Hope it helps!!

Keep calm and study hard

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Answer 2

hope it's helpful 4 u......