Question

In ΔABC and ΔABD, AC = AD, ∠ABC = ∠ABD = 90°,

Prove that ΔABC = ΔABD​

Answer 1

Answer:

In quadrilateral ABCD, we have AD = BC and

∠DAB = ∠CBA.

In ΔABD and ΔBAC,

AD = BC

[Given]

AB = BA

[Common]

∠DAB = ∠CBA

[Given]

∴ Using SAS criteria, we have ΔABD ≌ ΔBAC

(ii) ∵ ΔABD ≌ ΔBAC

∴ Their corresponding parts are equal.

⇒ BD = AC

(ii) Since ΔABD ≌ ΔBAC

∴ Their corresponding parts are equal.

Answer 2

Answer:

answer for the given problem is given