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In the given figure, D is the midpoint o...

In the given figure, D is the midpoint of side BC and `AE bot BC`. If `BC=a, AC =b, AB= c, ED =x AD=p and AE =h` prove that
`(i) b^(2)=p^(2)+ax +(a^(2))/(4)`
(ii) `c^(2)=p^(2)-ax+(a^(2))/(4)`
(iii) `(b^(2)+c^(2))=2p^(2)+(1)/(2)a^(2)`
`(iv) (b^(2)-c^(2))=2ax`.

A

`{:(P,Q,R),(a^(2)x,a^(2)//2,2p^(2)):}`

B

`{:(P,Q,R),(ax,a^(2)//4,4p^(2)):}`

C

`{:(P,Q,R),(ax,a^(2)//4,2p^(2)):}`

D

`{:(P,Q,R),(a^(2)x,a^(2)//2,2p):}`

Text Solution

Verified by Experts

The correct Answer is:
C
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