PLZ DONT SCAM.GEOMETRY CLASS 10 CHAPTER 1 SIMILARITY SOLVE USING BASIC PROPORTIONALITY THEOREM.
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Step-by-step explanation:
so as here pq parallel to bc
by basic proportionality theorem
we get
ap/pb=aq/qc=3/2 (1)
also as qr parallel to ab
again idung basic proportionality theorem
we get
qc/aq=cr/br (2)
ie ap/pb=cr/br=3/2 from (1) and (2) (3)
1.
thus CR/RB=3/2
Similarly applying invertendo
we get
RB/CR=2/3
2.
So from (3) we can conclude that
AP/PB=CR/BR
applying again invertendo
we can thus say that
PB/PA=BR/CR
3.
since PB/PA=BR/CR
by converse of basic proportionality theorem
we can say that
PR PARALLEL TO AC
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