In Fig. 4.35, state if PQ || EF.
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Converse of basic proportionality theorem :
If a line divides any two sides of a triangle in the same ratio then the line must be parallel to the third side.
SOLUTION :
Given : P and Q are the points on sides EG and GF . EP = 3 cm, PG = 3.9 cm, FQ = 3.6 cm and QG = 2.4 cm.
In ∆GEF,
GP/PE = 3.9 /3 = 1.3
And, GQ/QF = 3.6/ 2.4 = 3/2 = 1.5
so, GP/PE ≠ GQ/QF
Hence, PQ is not || to EF.
[By Converse of basic proportionality theorem]
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