Kitchen garden of Mrs khan is in the form of a triangle as shown. She wants to divide it in two parts ; one triangle and one trapezium .she takes PE=4m,QE=4.5m PF=8m and RF=9m. Is EF QR? Justify your answer?
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Given : Kitchen garden of Mrs khan is in the form of a triangle as shown. She wants to divide it in two parts ; one triangle and one trapezium .
she takes PE=4m,QE=4.5m PF=8m and RF=9m.
To Find : Is EF || QR
Solution:
PE = 4 m
QE = 4.5 m
PF = 8 m
RF = 9 m
in Δ PQR , EF is dividing PQ and PR in Ratio
PE/ QE = 4/4.5
PF/ RF = 8/9 = 4/4.5
Equal Ratio
Hence using converse of Thales theorem
EF || QR
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