How to both two triangles are congruent.
Class 9 Maths Important Question Answer.
Class 9th, EXERCISE 7.1, Page No: 118, Questions No:6.
CBSE Board and Others state Board, Session 2023-2024.
In Figure, AC = AE, AB = AD and ∠ BAD = ∠ EAC. Show that BC = DE.
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∠BAD = ∠EAC [∵ Given]
Adding ∠DAC both sides, we have
∠BAD + ∠DAC = ∠EAC + ∠DAC
⇒ ∠BAC = ∠EAD
In ΔBAC and ΔDAE,
AB = AD [∵ Given]
∠BAC = ∠EAD [∵ Proved above]
AC = AE [∵ Given]
Hance, ΔBAC ≅ ΔDAE [∵ SAS Congruency Rule]
BC = DE [∵ Corresponding parts of congruent Triangles are equal ]