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

In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is

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Question

In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is

Options

  • 6 cm

  • 4 cm

  • 3 cm

  • 8 cm

MCQ
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Solution

4 cm

Explanation;

Hint:

Since AD is the bisector of ∠A

`"BD"/"DC" = "AB"/"AC"`

`6/3 = 8/"AC"`

AC = `(3 xx 8)/6`

= 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 7 | Page 199

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