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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता १०

Check whether AD is bisector of ∠A of ∆ABC of the followingAB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm

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प्रश्न

Check whether AD is bisector of ∠A of ∆ABC of the following
AB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm

बेरीज
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उत्तर

In ∆ABC, AB = 5 cm, AC = 10 cm, BD = 1.5 cm, CD = 3.5 cm

`"BD"/"DC" = 1.5/3.5 = 15/35 = 3/7`

`"AB"/"AC" = 5/10 = 1/2`

`"BD"/"DC" ≠ "AB"/"AC"`

∴ AD is not a bisector of ∠A.

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Thales Theorem and Angle Bisector Theorem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Geometry - Exercise 4.2 [पृष्ठ १८२]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 4 Geometry
Exercise 4.2 | Q 8. (i) | पृष्ठ १८२

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