Question

In the given figure, ABC is an isosceles triangle and D is the midpoint of AC. prove that ∆BCD is congruent to ∆BAD.​

Answer 1

Answer :-

For showing the triangles congrent we must have 3 things equal in both the triangles In these triangles we can see that BC = AB as given Isosceles Triangle , AD = AD is common , AD = DC as D is midpoint of AC . As 3 things equal in both the triangles , So triangles congrent .

BC = AB [ given Isosceles Triangle ]

AD = AD [ common ]

AD = DC [ D is midpoint of AC ]

Therefore , BCD is congruent to ∆BAD by SSS Congrency .

Hence Proved