Question

in the following figures de is parallel to bc​

Answer 1

as DE//BC

Triangle ADE is similar to Triangle ABC

1. AD/DB = AE/EC

=> 1.5/3 = 1/EC

=> EC = 2cm

2. AD/DB = AE/EC

=> AD/7.2 = 1.8/5.4

=> AD = 2.4

Answer 2

in the figures DE ll BC............given

1] AD / BD = AE / CE..........Basic proportionality theorem

AD × CE = BD × AE............cross multiplying

1.5 × CE = 3 × 1

CE. = 3/ 1.5

CE = 2 cm

therefore value of EC is 2 cm

2] similarly in 2nd figure

AD / BD = AE / CE.............Basic proportionality theorem

AD × CE =BD × AE

AD × 5.4 =7.2 × 1.8

AD = 14.04/5.4

AD =. 2.6 cm

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