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Rajan@2021
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Asked: 2021-03-26T09:15:13+05:30 In:

In the figure (i) given below if DE∥BG,AD=3 cm,BD=4 cm and BC=5 cm. Find (i) AE:EC (ii) DE

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In the figure (i) given below if DE∥BG,AD=3 cm,BD=4 cm and BC=5 cm. Find (i) AE:EC (ii) DE

In the given question we have been asked to calculate the ratio of two sides of a triangle  and the length of a side DE by using the properties of similarities

class 10icseml aggarwal
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    1. Guru

      From the figure,
      DE∥BG,AD=3cm,BD=4cm and BC=5cm
      (i) AE:EC
      So, AD/BD=AE/EC
      AE/EC=AD/BD
      AE/EC=3/4​
      AE:EC=3:4
      (ii)consider △ADE and △ABC
      ∠D=∠B
      ∠E=∠C
      Therefore, △ADE∼△ABC
      Then, DE/BC=AD/AB
      DE/5=3/(3+4)
      DE/5=3/7
      DE=(3×5)/7
      DE=15/7

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