Question

In this given figure, D is the midpoint of side BC and If BC=a,Ac=b,AB=c,ED=x,AD=p and AE=h then answer question in attached picture

Answer 1

this is Ur required result in attachment

Answer 2

Answer:

Step-by-step explanation:

Answer :

We have

D is the midpoint of BC

(i) In AEC

AC2=AE2+EC2

b2=AE2+(ED+DC)2

b2=AD2+DC2+2xEDxDC (Given BC=2CD)

b2=p2+(a/2)2+2(a/2)x

b2=p2+a2/4+ax

b2=p2 +ax+a2/4 ………….. (i)

(ii) In AEB

AB2=AE2+BE2

c2=AD2-ED2+(BD-ED)2

c2=p2-ED2+BD2+ED2-2BDxED

c2=P2+(a/2)2-2(a/2)2x

c2=p2-ax+a2/4 ……………….(ii)

(iii) Adding equ. (i)and(ii) we get

b2+c2=2p2+a2/2