Question

In the ΔABC, AB=AC and AD ⊥ BC, prove that D is mid-point of BC.​

Answer 1

Step-by-step explanation:

We have,

InΔABC,AB=AC.and AD is the median.

Then prove that,

InΔABC,AD is the perpendicular bisector of BC.

Proof:-

In

ΔADBandΔADC

AB=AC(Giventhat)

AD=AD(Commonline)

∠ADB=∠ADC(Everyrightangle)

Then, ΔADB≅ΔADC by S.A.S. rule

So, AD is the perpendicular bisector of BC.

Hence proved.

Answer 2

Hence, it is proved that D is mid point of BC.