Q. 38. In the given figure, AD = 3 cm, AE = 5 cm, BD = 4 cm, CE = 4 cm, CF = 2 cm, BF = 2.5 cm,
then find the pair of parallel lines and hence their lengths.
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Given : In given figure, AD = 3 cm, AE = 5 cm, BD = 4 cm,
CE = 4 cm, CF = 2 cm, BF = 2.5 cm,
To Find : the pair of parallel lines and hence their lengths.
Solution:
if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
2.5/2 = 5/4
=> BF/FC = AE/EC
Hence EF || AB
EF/AB = CE/AC = CF/BC = 4/9
EF/(3 + 4) = 4/9
=> EF = 28/9
Check other
3/4 ≠ 5/4
3/4 ≠ 2.5/2
Hence EF || AB
EF = 28/9
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