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5. In a triangle PQR, EFI PQ. If PE = 4 cm, PF = 8 cm and RF =
9 cm., then find the value of QE.
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Correct Question :- In a triangle PQR, EF || QR . If PE = 4 cm, PF = 8 cm and RF = 9 cm . Then find the value of QE ?
Solution :-
we know that,
- According to BPT theorem when a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio .
since EF || QR .
so,
→ PE/EQ = PF/FR { By BPT theorem. }
putting values we get,
→ 4/EQ = 8/9
→ EQ = (9 * 4)/8
→ EQ = QE = 4.5 cm .
therefore, value of QE is equal to 4.5 cm .
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