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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If in ∆ABC, DE || BC. AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is - Mathematics

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Question

If in ∆ABC, DE || BC. AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is

Options

  • 1.4 cm

  • 1.8 cm

  • 1.2 cm

  • 1.05 cm

MCQ

Solution

1.4 cm

Explanation;

Hint:

In ∆ABC and ADE

`"AB"/"AD" = "AC"/"AE" ⇒ 3.6/2.1 = 2.4/"AE"`

3.6 × AE = 2.4 × 2.1

AE = `(2.4 xx 2.1)/3.6 = (24 xx 21)/360`

AE = 1.4 cm

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Converse of Pythagoras Theorem
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Chapter 4: Geometry - Exercise 4.5 [Page 199]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 4 Geometry
Exercise 4.5 | Q 6 | Page 199
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