Question

In given figure ab is equals to AC and BD = to CE prove BE = CD
Pls answer immediately​

Answer 1

Step-by-step explanation:

We have given;

AB = AC;

BD = CE;

To prove: BE = CD;

Proof : As the things have been given, we can write;

AB = AC;

Now, add BC on both side;

AB + BD = AC + BD;

Now, in given it is given that BD = CE.

Hence, AB + BD = AC + CE;

AD = AE; (i)

Thus, in triangle ADC and triangle AEB;

AD = AE (from equation (i))

 ∠A =  ∠A (common)

AC = AB (given)

Hence, triangle ADC is congruent to triangle AEB. (by SAS criteria of congruence)

Therefore, CD = BE. (by C.P.C.T)

Thus, BE and CE are equal.

That's all.