In triangle BAC,angle BCA is a right angle and Q is the midpt of BC P.T. BC^2=4(AQ^2-AC^2).
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1
Answer:
AQ
2
=AC
2
+(
3
2
BC)
2
2)9AQ
2
=9AC
2
+4BC
2
−−−−−(A)
In BCP
CA−CP
CP
=2
PB
2
=BC
2
+PC
2
−−CP=
3
2
CA
PB
2
=BC
2
+(
3
2
CA)
2
⇒9PB
2
=9BC
2
+4AC
2
−−−−−(B)
(3) Adding (A)&(B)
9AQ
2
=9BC
2
=13(BC
2
+AC
2
)
⇒9(AQ
2
+BP
2
)=13AB
2
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